Add to Active theme's folder as account.php in paid-memberships-pro/pages folder as a replacement for the Paid Memberships Pro pmpro_account shortcode created in the shortcodes folder of the main plugin, which will detect if PMPro Members Directory Add On or Theme My Login are active and redirect profile to either before redirecting to dashboard…

add--to--customizations--plugin.php

<?php
/**
 * Add to your PMPro Customizations plugin -- Note: you only need the code below, not the first 4 lines.
 */
function check_pmpro_account_page() {
	$account_page = get_theme_file_path( 'paid-memberships-pro/pages/account.php' );
	if ( file_exists( $account_page ) ) {
		require( $account_page );
	}
}
add_action( 'init', 'check_pmpro_account_page' );

pmpro-shortcodes-pmpro-account.php

<?php
/**
 * Replace the pmpro_account.php file with this file to detect Member Directory Add On or Theme My Login plugin for redirection to either.
 *
 * Shortcode to show membership account information
 */
add_shortcode( 'pmpro_account', 'pmpro_account_userdefined_shortcode' );
function pmpro_account_userdefined_shortcode( $atts, $content = null, $code = '' ) {
	global $wpdb, $pmpro_msg, $pmpro_msgt, $pmpro_levels, $current_user, $levels;

	// $atts    ::= array of attributes
	// $content ::= text within enclosing form of shortcode element
	// $code    ::= the shortcode found, when == callback name
	// examples: [pmpro_account] [pmpro_account sections="membership,profile"/]
	extract(
		shortcode_atts(
			array(
				'section' => '',
				'sections' => 'membership,profile,invoices,links',
			), $atts
		)
	);

	// did they use 'section' instead of 'sections'?
	if ( ! empty( $section ) ) {
		$sections = $section;
	}

	// Extract the user-defined sections for the shortcode
	$sections = array_map( 'trim',explode( ',',$sections ) );
	ob_start();

	// if a member is logged in, show them some info here (1. past invoices. 2. billing information with button to update.)
	if ( pmpro_hasMembershipLevel() ) {
		$ssorder = new MemberOrder();
		$ssorder->getLastMemberOrder();
		$mylevels = pmpro_getMembershipLevelsForUser();
		$pmpro_levels = pmpro_getAllLevels( false, true ); // just to be sure - include only the ones that allow signups
		$invoices = $wpdb->get_results( "SELECT *, UNIX_TIMESTAMP(timestamp) as timestamp FROM $wpdb->pmpro_membership_orders WHERE user_id = '$current_user->ID' AND status NOT IN('refunded', 'review', 'token', 'error') ORDER BY timestamp DESC LIMIT 6" );
		?>	
	<div id="pmpro_account">		
		<?php if ( in_array( 'membership', $sections ) || in_array( 'memberships', $sections ) ) { ?>
			<div id="pmpro_account-membership" class="pmpro_box">
				
				<h3><?php _e( 'My Memberships', 'paid-memberships-pro' ); ?></h3>
				<table width="100%" cellpadding="0" cellspacing="0" border="0">
					<thead>
						<tr>
							<th><?php _e( 'Level', 'paid-memberships-pro' ); ?></th>
							<th><?php _e( 'Billing', 'paid-memberships-pro' ); ?></th>
							<th><?php _e( 'Expiration', 'paid-memberships-pro' ); ?></th>
						</tr>
					</thead>
					<tbody>
						<?php
						foreach ( $mylevels as $level ) {
						?>
						<tr>
						<td class="pmpro_account-membership-levelname">
							<?php echo $level->name; ?>
							<div class="pmpro_actionlinks">
								<?php do_action( 'pmpro_member_action_links_before' ); ?>
									
								<?php if ( array_key_exists( $level->id, $pmpro_levels ) && pmpro_isLevelExpiringSoon( $level ) ) { ?>
										<a href="<?php echo pmpro_url( 'checkout', '?level=' . $level->id, 'https' ); ?>"><?php _e( 'Renew', 'paid-memberships-pro' ); ?></a>
									<?php } ?>

								<?php if ( (isset( $ssorder->status ) && $ssorder->status == 'success') && (isset( $ssorder->gateway ) && in_array( $ssorder->gateway, array( 'authorizenet', 'paypal', 'stripe', 'braintree', 'payflow', 'cybersource' ) )) && pmpro_isLevelRecurring( $level ) ) { ?>
										<a href="<?php echo pmpro_url( 'billing', '', 'https' ); ?>"><?php _e( 'Update Billing Info', 'paid-memberships-pro' ); ?></a>
									<?php } ?>
									
								<?php
									// To do: Only show CHANGE link if this level is in a group that has upgrade/downgrade rules
								if ( count( $pmpro_levels ) > 1 && ! defined( 'PMPRO_DEFAULT_LEVEL' ) ) {
									?>
										<a href="<?php echo pmpro_url( 'levels' ); ?>" id="pmpro_account-change"><?php _e( 'Change', 'paid-memberships-pro' ); ?></a>
									<?php } ?>
									<a href="<?php echo pmpro_url( 'cancel', '?levelstocancel=' . $level->id ); ?>" id="pmpro_account-cancel"><?php _e( 'Cancel', 'paid-memberships-pro' ); ?></a>
									<?php do_action( 'pmpro_member_action_links_after' ); ?>
								</div> <!-- end pmpro_actionlinks -->
							</td>
							<td class="pmpro_account-membership-levelfee">
								<p><?php echo pmpro_getLevelCost( $level, true, true ); ?></p>
							</td>
							<td class="pmpro_account-membership-expiration">
							<?php
							if ( $level->enddate ) {
								$expiration_text = date( get_option( 'date_format' ), $level->enddate );
							} else {
								$expiration_text = '---';
							}

								echo apply_filters( 'pmpro_account_membership_expiration_text', $expiration_text, $level );
							?>
							</td>
						</tr>
						<?php } ?>
					</tbody>
				</table>
								<div class="pmpro_actionlinks">
					<a href="<?php echo pmpro_url( 'levels' ); ?>"><?php _e( 'View all Membership Options', 'paid-memberships-pro' ); ?></a>
				</div>

			</div> <!-- end pmpro_account-membership -->
		<?php } ?>
		
		<?php if ( in_array( 'profile', $sections ) ) { ?>
			<div id="pmpro_account-profile" class="pmpro_box">	
				<?php wp_get_current_user(); ?> 
				<h3><?php _e( 'My Account', 'paid-memberships-pro' ); ?></h3>
				<?php if ( $current_user->user_firstname ) { ?>
					<p><?php echo $current_user->user_firstname; ?> <?php echo $current_user->user_lastname; ?></p>
				<?php } ?>
				<ul>
					<?php do_action( 'pmpro_account_bullets_top' ); ?>
					<li><strong><?php _e( 'Username', 'paid-memberships-pro' ); ?>:</strong> <?php echo $current_user->user_login; ?></li>
					<li><strong><?php _e( 'Email', 'paid-memberships-pro' ); ?>:</strong> <?php echo $current_user->user_email; ?></li>
					<?php do_action( 'pmpro_account_bullets_bottom' ); ?>
				</ul>
				<div class="pmpro_actionlinks">
					<?php echo get_proper_profile_page(); ?>
					<a href="<?php echo admin_url( 'profile.php' ); ?>" id="pmpro_account-change-password"><?php _e( 'Change Password', 'paid-memberships-pro' ); ?></a>
				</div>
			</div> <!-- end pmpro_account-profile -->
		<?php } ?>
	
		<?php if ( in_array( 'invoices', $sections ) && ! empty( $invoices ) ) { ?>		
		<div id="pmpro_account-invoices" class="pmpro_box">
			<h3><?php _e( 'Past Invoices', 'paid-memberships-pro' ); ?></h3>
			<table width="100%" cellpadding="0" cellspacing="0" border="0">
				<thead>
					<tr>
						<th><?php _e( 'Date', 'paid-memberships-pro' ); ?></th>
						<th><?php _e( 'Level', 'paid-memberships-pro' ); ?></th>
						<th><?php _e( 'Amount', 'paid-memberships-pro' ); ?></th>
					</tr>
				</thead>
				<tbody>
				<?php
					$count = 0;
				foreach ( $invoices as $invoice ) {
					if ( $count++ > 4 ) {
						break;
					}

					// get an member order object
					$invoice_id = $invoice->id;
					$invoice = new MemberOrder();
					$invoice->getMemberOrderByID( $invoice_id );
					$invoice->getMembershipLevel();
					?>
					<tr id="pmpro_account-invoice-<?php echo $invoice->code; ?>">
						<td><a href="<?php echo pmpro_url( 'invoice', '?invoice=' . $invoice->code ); ?>"><?php echo date_i18n( get_option( 'date_format' ), $invoice->timestamp ); ?></td>
						<td>
						<?php
						if ( ! empty( $invoice->membership_level ) ) {
							echo $invoice->membership_level->name;
						} else {
							echo __( 'N/A', 'paid-memberships-pro' );
						}
?>
</td>
						<td><?php echo pmpro_formatPrice( $invoice->total ); ?></td>
						</tr>
						<?php
				}
				?>
				</tbody>
			</table>						
			<?php if ( $count == 6 ) { ?>
				<div class="pmpro_actionlinks"><a href="<?php echo pmpro_url( 'invoice' ); ?>"><?php _e( 'View All Invoices', 'paid-memberships-pro' ); ?></a></div>
			<?php } ?>
		</div> <!-- end pmpro_account-invoices -->
		<?php } ?>
		
		<?php if ( in_array( 'links', $sections ) && (has_filter( 'pmpro_member_links_top' ) || has_filter( 'pmpro_member_links_bottom' )) ) { ?>
		<div id="pmpro_account-links" class="pmpro_box">
			<h3><?php _e( 'Member Links', 'paid-memberships-pro' ); ?></h3>
			<ul>
				<?php
					do_action( 'pmpro_member_links_top' );
				?>
				
				<?php
					do_action( 'pmpro_member_links_bottom' );
				?>
			</ul>
		</div> <!-- end pmpro_account-links -->		
		<?php } ?>
	</div> <!-- end pmpro_account -->		
	<?php
	}

	$content = ob_get_contents();
	ob_end_clean();

	return $content;
}

/**
 * _e( 'Edit Profile', 'paid-memberships-pro' )
 *
 * @return [type] [description]
 */
function get_proper_profile_page() {
	global $pmpro_pages;

	$pmrpo_edit_profile = 'Edit Profile';
	if ( ! empty( $pmpro_pages['profile'] ) ) {
		$pmrpo_profile_page = $pmpro_pages['profile'];

		$redirect = sprintf( __( '<a href="%1$s"  id="pmpro_account-edit-profile">%2$s</a>', 'paid-memberships-pro' ), get_permalink( $pmrpo_profile_page ), $pmrpo_edit_profile );
	} elseif ( class_exists( 'Theme_My_Login' ) ) {
		$tml_pages = get_posts(
			array(
				'post_type'      => 'page',
				'post_status'    => 'any',
				'meta_key'       => '_tml_action',
				'post_content'   => '[theme-my-login]',
			)
		);
		$redirect = sprintf( __( '<a href="%1$s"  id="pmpro_account-edit-profile">%2$s</a>', 'paid-memberships-pro' ), get_permalink( $tml_pages[0]->ID ), $pmrpo_edit_profile );
	} else {
		$redirect = sprintf( __( '<a href="%1$s"  id="pmpro_account-edit-profile">%2$s</a>', 'paid-memberships-pro' ), admin_url( 'profile.php' ), $pmrpo_edit_profile );
	}

	return $redirect;
}