Evil,
Good news. We've found the cause of the non-activation issue for Community Builder. The cause is because you have 2 required fields in the CB profiles which are not automatically being populated by Facebook. Since they are required, but not filled in, Community Builder will not allow the user to be saved.
The 2 fields are: Birthday and Gender. We have some logic to pre-populate these fields in JFBConnect with what whatevever 'default' values you've set in Community Builder. However, you don't have any defaults set. On our system, we set those 2 fields to not-required and our profile immediately imported correctly. Our avatar also successfully imported, but we are not using FTP.
If you mark those fields as not required, the same should work for you. Please test, and let us know how it goes. We don't want to mess with profiles on your site though.
Finally, a few notes:
* We are working on methods to import dates and gender for the 3.1 release. The gender will be more difficult, but we're hopeful we'll get it in there.
* You have a system plugin called Javascript SDK. This is adding the Facebook javascript twice on your page. I don't think this is causing problems currently, but it's possible it may.
Good luck, and please let us know how it goes!