Jeter's lack of range at shortstop doesn't mean that he can't play center. Range has to do with first-step quickness, which is what helps infielders get to ground balls, especially shorstops. Jeter has lost that first step over the past several years, but still runs very well, and still has a very good arm. He would make a good centerfielder if moved there.
Jeter is not the type of player who will want someone gone just because he doesn't like them. I'm sure Jeter is not happy with Cashman right now. Cashman made Jeter look greedy, then opened his mouth about moving Jeter to center, but Jeter is a class act and will have a great year.