Big Muff circuit in place of a rhythm circuit

Hi all,

I have a Warmoth Jazzmaster that has served me very well, but I want to make some changes. I'm going to change the pickups from a Strat style pickup config to dual humbuckers. As well, I played a Levi Perry Custom Shop Jazzmaster and was stunned by the fuzz circuit in it. It inspired me to want to put a fuzz circuit in the rhythm circuit cavity. I see people put Fuzz Faces in there, but is it possible to instead put a Big Muff style circuit, maybe a Ram's Head or a Op Amp Muff? How complicated would it be?

Thanks for any assistance!