We're looking into causes for this, but don't really have a great answer. From our quick investigation, this seems to be a problem with Facebook itself when you're logged into it and try to visit your site. Their Facebook Javascript API appears to be trying to load secure content in a different way which is confusing IE. This is a bug that's been reported to them, and they're looking into a solution. Unfortunately, from what we can tell, there's nothing in JFBConnect that we can do to fix this. We're still looking though and will let you know if we come up with something.
Thanks,
Alex