How do I redirect back to the same tab after submitting a form?
I figured it out.

When creating the array for the tab, add "ajaxForm" to the "class" index.

$newTab = array(
  'title' =&gt; 'New Tab',
  'link' =&gt; 'url',
  'class' =&gt; 'ajaxForm', //&lt;---- The important part
  //etc
);