The problem is due to the fact that you have 2 Facebook extensions installed on your site. If you open the HTML and search for "all.js", you'll see it declared twice. The first time is from JFBConnect, the last time (at the bottom of the page) is from something else. Also, if you look in that area, you're using 2 different Application Id's. This is confusing Facebook as to which application the user should be 'connecting' too.
Please disable this second extension, and everything should start working as expected. If not, let us know, and good luck!