Ooops... the "Nothing Much" thing was from testing something with the textareas.
Man, I HATE browser issues -- it'd be helpful to outline what exactly is failing and when. I rewrote everything to us the native WP AJAX API and jQuery specifically to avoid that stuff. I'm more concerned with IE 8 and 9. Can you verify that the issue continues on IE 8 or 9? I don't own a Windows machine, and I explicitly avoid dealing with browser issues like this whenever possible.
I need exact steps to reproduce the errors. When exactly does the data "not stick"? Can you do a screencast? I'm not using any Javascript on the posts or pages: it's rewriting the form elements that WP would be writing anyway (e.g. a textarea field instead of WP's default text field). It'd be best if you filed a bug report here, including all your system info (that pops up when you click on the CCTM "bug" link in the footer).
I can't really offer any support on how to integrate my plugin with another -- that's just incredibly difficult and not recommended. You end up with a hackjob that the developers of both plugins won't support. If I were you, I'd just require users to use Firefox for now when accessing the manager. It's kinda nuts to me to start gutting code when the problem is in the browser, not in the PHP.