I've done these things and the button also does not work for me.
EDIT
I'm in Firefox trying it and it still does not work. The "web console" tells me the following:
[21:06:08.822] TypeError: FB.getSession is not a function @
http://forum.paradoxplaza.com/forum/clientscript/vbulletin_facebook.js?v=415:11
EDIT
Tried again with Explorer. my GOD this browser is painful to use. Seriously, just loading this page to edit this message ramped me up to 97% of my CPU. CPU was acting SO slow I had to check in task manager what the hell. ANYway, button does not work in this browser either.
EDIT
Back to Chrome. Can't seem to do anything to get the button to do anything at all.
EDIT
I tried looking at the source code (is there supposed to be an / in the img tag?) and it seems to be a java app, so, I turned my java to be "Always on" and tried both the top button and the one in my profile. Nothing. Then I tried turning EVERYTHING to be "always on" and still nothing.
EDIT
I tried looking up "java button not working" and "Facebook connect not working" but did not find anything of use
EDIT
tried from a different computer (roomate) still not working