I disagree. All Woody has to say to Rex is, "I want your input on our next GM. But just remember this guy is your boss after he's hired and he's going to do what HE deems necessary for this team". He won't be answering to you. You will be answering to him.
Rex doesn't have a problem with respect for others including those higher than him in the organization. He wouldn't have gotten the job to coach the NYJ unless he could respect his bosses.
That thought also goes to common sense as he respects all of his players, and his players, as a result, exhibit more honesty and integrity toward him than they have probably ever exhibited to anyone else. They feel bound by a higher standard. The players always speak in glowing terms about Rex. That's a result of how they themselves have been treated.
If you all of you Rex Ryan critics can't grasp something as simple as common sense from what you see and hear yourself, then I don't have any hope for you.