Conte would be a coup. No question he is one of the best in the business. I don't think he is the guy to build a new team but if Levy is hellbent on trying to make it work with this group of players then you won't do better than Conte.
IMO, the big question if he comes will be how he makes it work in the middle of the park. His various teams have had different tweaks but on some level they are all build around three disciplined CBs at the back, runners at wing back, a focal point central striker, and then four players in the middle in either a box or a tilted diamond and those four players have been the engine of each of his sides - at Juventus it was usually Pirlo, Pogba, Vidal, and Marchisio; at Chelsea Matic, Kante, Hazard, and Pedro/Willian; at Inter Brozovic, Barella, Lautaro, and Vidal/Eriksen. Those quartets were each full of truly top quality players. Conte has been really good at getting performances out of ordinary players in the other roles - very pedestrian wingbacks like Victor Moses or Stefan Lichsteiner or an aging Perisic or Ashley Young, solid enough performances from unexceptional CBs like an aging Gary Cahill, strikers like Mirko Vucinic. But he has always had multiple genuinely world class players in the middle.