Can I render JFBCRequest inside DIV or FRAME tags?

No, unfortunately you can't. Facebook does have a way to make the Request popup in a modal, but it conflicts with mootools which is a part of Joomla. So, we have to use the popup method.

We're planning to use the modal version in the version for Joomla 3.0 if it doesn't conflict there, but I don't think that helps you right now.

Hope that explains, but if not, or you need more info, let us know.

Thanks,
Alex