Noa,
Sorry for the delay. Took a while to digest what you were asking for.
We don't currently integrate with CiviCRM. However, we do have a full plugin system, which we're always trying to make as easy as possible to let other developers create their own add-ons. We've had a request for CiviCRM once or twice before, but just haven't had the time or overwhelming interest to develop it on our own. Should you or your developer want to create a profile plugin for importing user information, you can check out our guide below:
www.sourcecoast.com/jfbconnect/docs/deve...ing-a-profile-plugin
Most plugins that we create are only about 75-150 lines, so it's not overly complex.. and some are really small, depending on how much you want to do. When a user registers through JFBConnect, we currently do have the ability with JomSocial to add them to the right multi-profile and import information. That may or may not help in your endeavor, if you just want it to go JFBC->CiviCRM->JomSocial, that works too.
Either way, we'll of course help, but with multiple different ways to register, things always get more complex. We do call the standard Joomla onRegister and onLogin plugin triggers, so as long as CiviCRM uses those to 'do' whatever it needs to do or you create a profile plugin, things should be pretty good.
Hope that helps get you started, and let us know if you need more specific info!
Thanks,
Alex