Search on SSL gives warning if form action is not https. This script circumvents this by not setting form action and redirecting the page with serialized form onSubmit

sslSearchToNonSslPage.js

$('#cartform').on('submit', function(e){
        e.preventDefault();
        var formData = $(this).serialize();
        var formAction = $(this).data('action');
        window.location.href = formAction+formData;
    });