The first question any franchise has to ask is: What is the structure of responsibility? Who is going to be accountable to whom?
Putting Wolf in charge, as you suggest, MG, would be my least favoured option. I think it is a recipe for disaster -- all the more so because I have yet to see evidence that Wolf is good at his own job.
If you divide authority and things don't go well, everyone has an incentive to point the finger at the other guys (the coaches at the Front Office and vice versa). It's even worse if you put the Front Office (GM) above the coach because personnel is a function parallel to coaching and needs to be judged too. Parcells was quite right: if you want the coach to cook dinner, you've got to let him buy the groceries.
We are far enough into this season to see that very little has gone right.
The off-season was terrible. Okorafor, Anderson, Gibson, Osborn ... And then Brissett! $7m for a worse QB than either Zappe or Jones! As for the draft, has anyone except Maye shown anything yet? D- for the Front Office.
The two co-ordinators are extremely unimpressive. No running game. Limited play design and predictable play calling. Steep regression in defense. Can't stop the run. No pass rush. D- for the coaching staff.
I can only see two positives for the season:
(1) Maye could be the answer at quarterback.
That isn't established yet -- and drafting him doesn't make Wolf a good GM. The team didn't even have the choice to make that Chicago and Washington had to: it was Maye or trade down -- and, since the team absolutely needed a quarterback, that would have been nuts.
(2) The team want to play hard for Mayo.
That shouldn't be underestimated. I remember Belichick complaining in 2009 that he "can't get the team to play for him". But it can wear out if the team keeps on losing. The humiliation of the Jacksonville game in London already shows that.
So I guess that my answer has to be a combination of (3) and (2). Let Mayo re-tool the coaching staff and, perhaps, have the Krafts shake up the personnel department too.
It's just possible that Mayo can learn on the job and, though he'll never be a football savant like Belichick, that he can find people who are better at running offense and defense than those there now to complement his ability to relate to his players.