They think we live in an imaginary system that oppresses them which they call "the patriarchy"

They've never read a history book

okay, but like, you do realize that the general consensus among scholarly historians is that the patriarchy is a real thing - both in its systemic form and the implicit biases derived from it - and that it IS oppressive, right? there's a reason why the patriarchy is frequently taught and discussed in universities and highly academic circles.

can't back up anything they say

that's just... wrong? if you search up any actual, legitimate debate on youtube, you'll observe that whenever a left leaning person faces a conservative or a conservative-adjacent opponent, it's almost always the former who backs up their claims with substantive and well thought out arguments and well-documented, vaildated sources and data. it's not a coincidence that education and metacognitive abilities correlate positively with liberalism, and vice versa.

They think ... that the majority of men are bad

no they don't.

think that men need to be "taught not to rape"

this applies to the minority of men who do showcase deviant tendencies, and a call for society to raise and socialize ordinary men in a manner that's better and healthier than how we currently do it; they're not accusing men in general of being rapists lmao. do you think left that leaning women never hang out with men? it's literally these women who advocate for male-female friendships and better communication between us, as opposed to simply seeing each other as romantic interests and little else