I'm not seeing the login issue you describe. I just created an account and wasn't redirected constantly. However, I also couldn't find a good way to logout, so I didn't get to test thoroughly.
I do see you're using the Wibya toolbar at the bottom though. Can you try disabling that (temporarily), or anything else with Facebook integration built in, and see if that helps? If so, that will help narrow down the issue.
Alternatively, try from a different computer and/or Facebook account since, again, we can't see the problem from our end.
Thanks,
Alex