You may be better served with iframes and additional webform projects than with trying to use ajax components for this. Could you provide more information on how you want your user experience to be affected by the results of the data being processed by the ajax component? Here's an example of a form I did a while back for Patch Management, in which the "staged" task status is displayed in an iframe. It is not currently configured, however, to affect the parent page in any way.
http://atmaworkflow.files.wordpress.com/2014/11/patchmgmtiframe.gif
I tried several methods of getting the ajax data as you originally intended, and was unable to do so. You may be able to attach a new javascript listener to do so, but again, using iframes may be easier depending on what exactly you're trying to do with your UX.
EDIT: I just ran a few tests, and it turns out that adjusting the parent form with iframe form javascript is as simple as using, for example:
parent.document.getElementById('ElementControlIdHere').dosomething
instead of the usual:
document.getElementById('ElementControlIdHere').dosomething
So that being said, using iframes should be a good solution for what you're trying to do. You can control visibility on the parent page, while still keeping functionality and page reloads sequestered from the parent form.
Demo:
http://atmaworkflow.files.wordpress.com/2014/11/iframecontrolsparent.gif