My aunt was a hell of an anecdote, I'll have you know. She once laid three men flat on the floor during a bar fight, and the cops were scared to go near her until she'd finished her beer. But she also liked to grow dahlias. So there ya go.
As far as the binary arguments go, I will say this -- many men do tend to have a psychological compulsion to divide just about everything into A and B, black and white, we and they, and they do this in an almost ritual manner, like dividing the peas and the carrots and the meat and the gravy into little sections on the plate before they can eat. I have an autistic nephew that's like this, and autisim is a trait that does seem to be found more in males than femaies. Baron-Cohen researched this specifically.
But I don't find that all men, or even most men are like this. Most men I know are not preoccupied such divisions, or with gender differences -- they just go on living their lives and get along just fine with the women with whom they share the planet. And, I gotta say, they're the men who impress me as *men,* not the preachers of a lost cause, or those who fantasize about a world where The Women Knew Their Place (a world that never really existed.)