I think Poles gets more time. He took over a team in free fall and saw it crash into the ground. It'll take more than one off-season to build a competitive team. I like what Poles has done with draft capital. Claypool is a big mark against him. On paper it was a good move. At the time, I recall a lot of excitement, further fueled by talk that GB was after him.
I don't know about Flus. Maybe one positive thing I can say about him is I believe the defense has been playing a little better since he took over. I thought the rule used to be that coaches got three years. (Trustman was a fairly recent counterexample).
I agree regarding Fields. It was unfortunate the circumstances he's found himself in, but I think good quarterbacks would find more ways to have success. He's going to have to play great the rest of the season too stay in Chicago. I'd love to see it, but I'm not very hopeful.
Moving Mooney would be just giving up on offense. This has been a down year for him - it's shaping up to be a down year for the whole passing game. But leaving Moore as the only legitimate WR threat won't help win games or evaluate Fields/Bagent.
If I could chose between the two, I'd like to see JJ stay. He's a solid pass defender, although his availability has been limited by injuries.
I'm not sold on Tyrique "PI" Stevenson. Every game he seems to get beat and has to interfere.
Edit: Wait what? I thought I was commenting in the post about moving Mooney or Johnson.