My read is that "you're a team of edgy low-rent superheroes working for the MIB" is a fundamentally different proposition from "you're the serious urban fantasy equivalent of a PARANOIA troubleshooter team, i.e. entirely composed of the exact groups you're meant to be hunting, and very keen on not letting each other know about this". Not a minor aspect of the game at all.
Relatedly, I'm... pretty sure kaiju TRPGs exist, like ones where you play Godzilla and Mothra and so on, and I'm pretty sure Earth-based adventures for those would take some significant homebrew to make even vaguely compatible. If they don't, that just raises further questions!