There are three things I would say are important to have in a coach. I think you will find these things in each type of (successful) coach regardless if they are like Carroll, Dungy, or Belichick.
- Be authentic
- Clear vision
- Focus on the small
People have to be who they are. They can't fake it for long because the mask eventually comes off. Pete couldn't win if he tried to act like Belichick and vice versa.
I also think the great coaches have a clear vision and focus on the small stuff.
Saban = the process, Belichick = do your job, Dungy = do what we do, Carroll = always compete, etc.
Also, their message is delivered consistency. I think they all focus on doing the little things each day but deliver the message in an authentic way.