https://www.facebook.com/facebook/
the like button for the actual page (which should be to the left of the "Message" button) is itself blocked. Additionally, hovering over the like target's name in one of their posts brings up a small frame which should ordinarily have a like option as well; it is also being blocked in this frame.The filter causing this is ##.likeButton and disabling that filter fixes the issue in both cases. However, it probably unblocks the like button on third party sites that have Facebook like buttons, so probably a more specific filter is needed.