Of course doing that would also make it so you can't log in with Facebook here either (which is why most people use it). What you *really* want to do is change your settings here: https://www.digitalpoint.com/account/external-accounts#facebook
People log in with Facebook? Oh, right. Yeah, people do that now. But... I don't remember how it is by default, but don't you have to manually choose what you want to post to FB? Or is some of it on by default?