As the title says my housemate is a rad feminist. She thinks that men should be punished for their patriarchy. I've had an inkling about this because her ex-bf friends told me she is a man hater, and she has no male friends that she doesn't have sex with.

Recently I joked that it was sexist that there were girls in a pub bathroom after I had been kicked from the same pub for trying to go into the girls with a girl. She said that men deserve it for what they do. I asked what do we do? She said nothing anymore because women now have greater rights than men and it's not enough. I stupidly said while drunk that when guys figure out that jerking off is less hassle then sleeping with you you might change your tune. She didn't like that.

She has always been vocal about that me and my gf shouldn't be together and that monogamy is stupid. I don't think my gf agrees but I feel that the housemate is jealous that I am with her and might sabotage us.

I know she has some mental issues against men. What do you guys think is the best way to show her that we aren't this evil gender of rich fat cats raping and conspiring to keep women down?

Edited for readability