I just looked at your page (Thanks for the PM), and on the home page, the Share button is actually being loaded. If you view the HTML on the page, and search for "Share", you'll see a reference to the following file:
http://static.ak.fbcdn.net/connect.php/js/FB.Share
That's not being inserted by JFBConnect, and is what's causing the conflict. That line isn't being loaded on any other pages of the site (that I could find).
I don't know what extension is specifically adding it, and I can't actually see the share button on the page. The best reference I can find, in the HTML, is to "igallery". If you know what that is, please see if you can disable the Share functionality within it.
Hope that helps, but if not, let us know!