Next time he brings up religion to justify his misogyny, ask him what the prophet said about his wives and all women. Also, most religious people, including myself, believe in absolute truth irregardless of religion, government, or anything else. Ask him if he can justify his misogynistic take without bringing Allah.
You could prove him wrong? If there’s anything he says about women that’s not true for you, show it off a bit. Flaunt it. Make it REALLY OBVIOUS that he is wrong. If he’s capable of self-reflection, he will question himself and maybe unlearn his sexist socialization. If he’s just s jerk, it will simply be more obvious.
As a kid, I showed up a kid who thought no girl could beat him at a game. Shut him up when I mopped the floor with him. In high school, the guys sometimes said stuff about us belonging in the kitchen, from their seat behind me in math class, while I had my hand up to do a problem in front of the class that they didn’t understand. There was no question in anyone’s mind about who really belonged in that classroom, and really I didn’t care what they said because math was more interesting.