Sorry to sound condescending, that certainly was not my intention. I really was wanting to know just what had happened. To be honest with you, I've broken my share of porcelain tops, but I've never seen one rung off at the base like that. You know, if the easy-out - which must be a pretty hefty one - is still stuck in there you may be able to concoct a way to not try to back it out, but maybe be able to continue to screw it right on though into the combustion chamber and out; that is with the head off of course. With the tap broken off I don't see how you can avoid taking the head off. Once that's the case I'd take it to the local machine shop myself and act real nice to the proprietor.
That is one hell of a thing though, first time I've ever seen it. I wish you luck.