Ingmar,
I just tried again.. I ran into a few issues, but none like you were explaining.
At first, when I registered an account through Facebook, I received two confirmation emails. This was because both Community Builder activation and Joomla activation was enabled. To fix, I disabled Joomla activation - There should only be one thing trying to activate the user.
Additionally, when I tried to click the confirm link in the email, I got to a strange page. I disabled AceSEF again, and that seemed to clear it up, but it may have been the auto-login issue (see below). For the rest of my testing below, I did it with AceSEF off. This shouldn't be necessary, but may be a good way to test for now.
Next, I registered through Facebook, but got a 500 server error directly after. The confirmation email did arrive properly though. The 500 error was due to the "Automatically Log Facebook Users In" setting. Since the user wasn't confirmed, they couldn't be auto-logged in, so this caused a loop. I disabled that setting. In the future, we plan to handle the case where activation is required and auto-login is enabled, but for now, they don't work together.
After that, I was able to confirm my email address and log in normally.
Please test, and see how it goes for you.
Thanks,
Alex