Hide drupal tabs using a permission

gistfile1.php

<?php

/**
 * Implements hook_permission().
 */
function MYMODULE_permission() {
  return array(
    'view contextual tabs' => array(
      'title' => t('View contextual tabs'),
      'restrict access' => TRUE,
    ),
  );
}

/**
 * Implements hook_preprocess_HOOK().
 */
function MYMODULE_preprocess_page(&$variables, $hook) {
  if (!user_access('view contextual tabs')) {
    $variables['tabs'] = array();
  }
}