Well, their ideology is modern. And I'd hesitate to call anything a "patriarchy" in the modern age. Women make up both the majority of consumers, the majority of voters, the majority of college graduates, and the majority of teachers in educational institutions. They aren't exactly an oppressed group in society. The men in power cater to feminist ideology, which is, at least on its face, a female supremacist ideology (though it's a thoroughly self-contradictory one thanks to modernity and post-modernity). You pay homage to feminism, else you are considered an outcast in certain parts of society, in spite of how few people consider themselves feminists.