There were no attachments in your original post. If you upload a file, please make sure you click the green arrow next to the images you want to insert into the post.
I just tried to go to your site to test, but it's in Offline Mode right now, so I can't see what's happening. Just to note, if you are logged into the front-end already (like to bypass the Offline Mode page), and then click the "Connect this account" link for Facebook, that *will* just leave you logged in without any registration page. In that case, you already have a Joomla account and are just connecting a Facebook account to it.
I hope that helps explain, but again, keep me posted on what you find.
Thanks,
Alex