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what would a jjk/psycho pass mash up look like?
gojo and geto would probably have similar roles as kogami and makishima with the exception that they'd known each other from before. i can see geto antagonizing the system for the same reasons as makishima: his character is built around revolution, the one-eyed madman in a world of blind people and for that he was led astray and isolated, by choice and by the impossibility of ever being understood and then going radical on the system that tore him apart. it's not too different from makishima's own role in the universe of PP and gojo, well, he'd probably differ in the way that unlike JJK he doesn't have to execute him and there's the option of disappearing from the city but would geto accept it? would he really be able to leave everything behind for a short-lived fantasy? that'd take convincing that depends entirely on gojo's own approach of the situation, if he comes to that point of grasping geto's intentions not too late as he did in jjk but sometime earlier.
now for kogami in a jjk setting i can see him being born with a heavenly restriction in order to oppose to makishima's special grade ability, to balance out the anomaly that is his existence in the sorcerer world. same way that geto was born a short time after gojo, with an ability to stabilize what gojo's birth moved, the only curse that could hinder the six eyes, kogami would likewise be the other end of their dichotomy.