Hard as it is to believe, there was a time when I was mad they weren't playing Bledsoe because of that stupid Brady kid. Obviously, I was wrong. But I stayed with the team. (And was rewarded for it bigtime.)
You ultimately, as a fan, have to decide if you're a fan of a team or a fan of a player. Either is valid, but once you know which you are it makes the decision easy.
I'm a Pats fan to the core. I get mad at them, sure. And I flip out when they don't keep players I like (example: what'll probably happen with Moss.)
But I stick by my team.