Given that the leader of the free world has said that he's not a feminist, I'm not sure I would say that it's ingrained into the culture. It's a recent cultural phenomenon of these countries, sure. But Western civilization has a much deeper culture of patrilineal succession, of the priesthood being restricted to men, of only men having political representation, of the father being the head of the household, etc. That stuff doesn't evaporate from a culture quickly, and even today many of those are strongly believed by huge parts of Western civilization.