Hello Alex!
Well, I thought I had everything all sorted out because the Facebook login worked the first time I tried it and a couple of consecutive times but as I continued testing I was only experiencing a successful login maybe one out of ten tries.
At first I thought it was related to caching but disabling and clearing it did not solve the problem. So far it seems the issue is only with FB, the other 3 social logins still appear to be working correctly. I installed Firebug so I could see what was happening with the javascript. It looks like there might be a conflict with MooTools or Jquery. I am now going to install a simple template and see if that resolves the issue.
Attached is a screengrab of the errors I'm getting when I click the FB login button. Does this seem like a template issue to you?