My $0.02 on this setup is that he'll try to spin this in a way that he will admit making a "mistake", will claim that he and his family have been in counseling with his Pastor, that his family has forgiven him (I'll believe that when I hear it from Carlita herself), will ask that the public still respect his family's privacy in these "trying times", claim that Detroit's problems are too insurmountable at the moment for him to resign, and then end it right there.