As Alex mentioned, the Like module doesn't use the App ID. In 3.0RC2 and earlier, it was always using the current URL to like. In the new 3.0.0 release, we've added a new module parameter (URL to like). This way, any place on your site with this module can like the same page. If this value is blank, then the current URL will be used.
CB login still required after Facebook Connecting
