If we assume that all mistreatment has the same source. I wouldn't make that assumption, but if you want to explain away the possibility of misogyny being a problem then you certainly can.

> If we assume that all mistreatment has the same source.

What I said doesn't require that, and I didn't assume that.

Actually I think it would be more reasonable if the people who are certain misogyny (again, just so we don't forget what this word actually means: "hatred of women") rules the world would provide evidence of the widespread hatred of women. If anything, I think the evidence is much stronger that people hate men.

That is an impressive strawman you've built. Yes, if you assume that people you disagree with take the most extreme position possible ("are certain that misogyny rules the world") then yes, you can always be right! Good luck, I'm sure you can just make up some words of mine to argue against if needed.