You've got to coach worrying about your entire team: whether that gets you a championship or whether that gets you fired. I think it allows you to coach free. You're coaching with freedom because you know you're doing what you think is right.
As a coach, you've got to do what's best for the team. If guys don't like it, they're going to leave. If they stay and don't like it, well, your team's going to suck anyway. Even if this happens, you still have to do it. You can't coach worrying about any individual.