You're not doing yourself or the movement any favors with all the hatefulness. Refute the central argument and the central argument ONLY or you end up using the same cheap toolbox as the kill-all-men girl.
One of two things is going to happen when you try this move. The girl will be into it OR she won't. And when she won't, she'll assume you're drunk and not aware of what you're doing. No harm done.
