I question his loyalty for his players and his injured players.
What I observed is after Odell Beckham got hurt, this guy is on the sidelines still looking at the ineffective corny play chart he has in his hand.
Not one time has he come on the field to show concern or respect. Player after player is injured in the War for the coach, and he has yet to bring his ass to the field. I can still envision Coughlin running up the field on the sidelines during a good play, as well as giving respect and acknowledgment to his player (troop) who is injured on the field. Odell, Marshall, Sheppard all injured one after the other. He may have asked if they were ok later, but that's not when it counts.
That is a definite way to loose the fighting spirit of the team playing for each other if the coach isn't showing he cares about them, if you don't show you are proud they are playing hard for you.
Now Coughlin is a Saint, but you have to give credit where its due.