Nice work on FBConnect! I was looking through the FB Developer documentation and noticed that the REST API is going to be sunset this year. Here is their roadmap:
https://developers.facebook.com/roadmap/

It looks like October 3, 2012 the Live Stream Plugin will be removed (so facebook_stream_publish will break).

It doesn't look hard to upgrade the existing module (in some places) to the new Graph API with Facebook PHP SDK. So, in order to get the user's profile (fbconnect.module line 457) it would change to:
$user_profile = $client->api('/me','GET');

Could you give me more information on the FQL queries and direct me on how this would change (then I can maybe submit a patch!).