So, when you "empower" a woman, that seems to me, you make her independent of men, to such a degree, that she literally no longer needs men for practically anything. Or even, to a degree, other women and certainly children. The "new woman" sort of doesn't need anyone. Although, she might enjoy company for lunch or something.
So, I guess that's not about exterminating men, as much as it's about making women feel like they can get by just fine, in a culture where men are actively encouraged to behave like animals. I think it is an attempt, on a grand scale, to moderate the consequences to women that a generally immoral culture and economy have produced in their lives.