My answer is two-fold.
Yes, the Bears should trade Jay Cutler if the new head coach would like to move in a different direction at the position. The Bears can no longer plan organizationally around a player so enigmatic.The next head coach needs to be empowered moving forward.
No, the Bears shouldn’t trade Jay Cutler just because they are tired of him. When the Bears don’t ask Cutler to throw it 40 times and put up 30 points, he’s been a winning player. The numbers completely support that. Bears won’t find better over next two seasons.