In fact, I've seen them go even further and accuse people who make a fuss those problems of being the ones who don't actually care about them, because if they really cared they'd recognise that feminism was the movement that was actually trying to solve those problems and copy its approach of refusing to do anything about them. That, in fact, this proves that said activists are misogynists who are just out to attack feminism.
Obviously it seems Tumblr-inas get awfully large soapboxes to stand upon, but my personal experience indicates they are outliers.
Well, if a man doesn't want to provide for his kids, then who should provide for his kids? Should a man force his wife to provide for his kids while he sits around doing nothing? Or should a man force the government to provide for his kids?
I think more people should be pissed off about this component, too. A man shouldn't feel obligated to be masculine, nor a provider, nor a protector, nor anything he doesn't want to be. Truthfully, more of HN should empathize with this as well. I would be surprised if a very large portion of us didn't grow up being called a variety of epithets for being less athletic, more booky, less masculine and therefore less valuable than the general population.
Ironically enough, it's exactly this component of patriarchy that leads to the aggressive anti-feminist views seen all over this board.
You can call it matriarchy if you want, I don't really care, except that a) no one will know what you're talking about and b) we don't live in a matriarchal society so it doesn't make sense.