Actually, all MGTOW groups say "AWALT - all women are like that" so no, MGTOWs do not believe in equality. Far from it. They act as if women cannot reason and only go by their feelings. They claim that all women follow hypergamy - where one marries to get ahead economically or socially. They believe that women who are married will "monkey branch" to any guys that give them attention if he is from a higher class than the one her husband is in. Many of them are incels complaining about how women don't want them but they do want the bad guy. No, women want a guy with a personality and someone they are attracted to. Just because a guy is nice, doesn't mean he deserves a girl or much less sex!
It's awful thinking and toxic. Toxic masculinity right there indeed!
I do think it's funny, I'm laughing. MGTOWs are a joke just like extreme feminists are.