No, unfortunately it does not work. The only way to use Facebook Connect on your website is to register your own application with Facebook, then you can create it with the php or javascript sdk provided by Facebook.
If we allow Facebook authentication on all our sites with our application anyone can access to the users data acting by Altervista.
I don't know how Janrain works, but i think that it does not share the Facebook session with your site, probably it allows to have a single sign on without having to develop it by yourself.