I'm one fan. I can't pretend to speak for all of them.
I was disappointed when they traded Roberto Kelly to make room for Bernie. I was disappointed with the way Bernie ended his career. I was unhappy with Torre's little book. I was disappointed with the public negotiation with Jeter. But, no, I won't stop rooting for the Yankees. I'll cuss Cashman and the H&H boys if they handle it poorly. I may lose interest of have some insane one man boycott of all things Yankees for a month or something. I'll probably say "So now you're gonna pay Jeter 8m to not play while using Nunez at SS? Nice move, jackwads!!!" But, in the end, I'll put my faded Yankee hat back on.
I don't think there's any way in hell they release Jeter so, mostly, this is just chit chat. It won't happen.