I mean, Kratos is a god but I think it’s debatable wether or not the omnitrix can scan him
It depends, really. Some "Gods" are sometimes concepts really, no real forms. While gods such as Kratos (which he's just a human, so Ben wouldn't be able to become him) and Heracles get their powers from "Trials," and blessings by other gods, so while Ben could become the species of a god (if they are different from human, at least) Ben wouldn't have the powers from the DNA source, since they are gifted upon them, rather than being a natural ability like most aliens.
What do you think?