Don't start the Chomsky-Foucault debate. 
Can you brainwash this out of people? Sexuality has nothing to do with logic. Sorry if that sounds depressing, but that’s how I see it.
I don't see it as 'brainwashing' -- quite the reverse. I see it as educating people out of previous brainwashing or conditioning, and enabling them to live lives free of gendered inequality. (Which obviously is not the only form of inequality, but the one we're talking about here.)
If I didn't, I wouldn't have had a child. But said child is growing up in a household in which both parents' jobs are equally important, both parents support the household financially, cook and scrub the bath and check his spellings and take him to the dentist, and where he's encouraged to question messages about gender he gets from wider society or from books (currently explaining why Aslan keeps taking the male Talking Beasts off to discuss affairs of state, and not the female ones
) and he's allowed to have an emotional range larger than grunting at the football, and where his friends' parents include women in historically male jobs and two stay-at-home-fathers, and where he sees mutually respectful male-female friendships and marriages, as well as same-sex ones etc.
Obviously, he'll be exposed to porn, the way he'll be exposed to misogyny and racism and homophobia, and rigid ideas about masculinity -- but I hope that having had the base he's had, it will give him to tools to question and resist.
And not just him -- I'm an academic, and I find myself at times very impressed with the younger generation, and many of my friends teenagers and twentysomethings are brilliant. And one of the nicest differences I notice with my own upbringing and single-sex education is male-female friendships. A teenage boy who has close girl friends is not going to be able to see violent porn as normal, any more than a girl who has close male friends is going to see men as a different and superior species.
A lot of my students are first-generation university-goers, and a significant minority are from conservative BAME backgrounds -- their experience and expectations will be very different to their mothers' lives. Education matters.
How are you planning to arm your daughters against what you see as an innate male instinct to subjugate women, Pa1oma? You're right, that is a depressing view.