Belichick knows more defensive football than anyone else alive, so on that count, he is an eminently qualified hire. But there's a lot about him that would give me skepticism.
-His hard-*** "do your job" culture just doesn't sell in the Micah Parsons podcast influencer era. Players hate it, and a lot of coaches under him hate it too. Saban called coaching under Belichick in Cleveland the worst four years of his life, and Saban is cut from that exact same cloth.
-Could Belichick even manage to instill a "do your job" culture, when players that don't like him know he's going to be gone in 2 years anyway?
-He has never had to deal with an owner like Jerry landing a helicopter on his practice field. Belichick is an autocrat and 100% will not take well to the Jerry circus.
-For a guy who knows so much ball, Belichick is a terrible judge of player talent. In particular, he is maybe the worst evaluator of college WRs to ever turn in a draft card. Being an autocrat compounds this - he's a horrible drafter who insists that he keeps on drafting.
-Belichick is like a dictator - he rewards loyalty over skill with his assistants. When he's calling his own defense and Brady is essentially calling his own offense, you can hide an Eric Mangini or Matt Patricia on your staff. If your QB is say Dak, that becomes a lot harder.
All in all, I would take Belichick over any Chan Gailey, Jason Garrett, Mike McCarthy type coach that Jerry would otherwise dredge up. But IMO, we'd be looking at a Cleveland Bill situation rather than a New England Bill situation.