Yet you've role claimed, ergo you.must use your doc powers or get MKd.
You've effectively, if the true JOAT, screwed yourself...but it is a good play as mafia.
Consider: the town won't lynch you out of fear of you actually being the JOAT, the mafia now wont MK you out of fear you'll use your doc power...so I guess you'll do an investigation?
This play makes way more sense if you are mafia, not if you're actually the JOAT