I am wondering if your hate towards men is keeping you from responding to them. Do you ever feel any arousal in seeing men in movies/TV or in other romantic situations when you don't feel like you "have" to respond? Does it occur naturally?
How about women? Are you attracted to women in movies/TV when they are undressed, etc.?
I would think most people do have a sex drive, whether they act on it or not. Maybe you just have completely repressed it.
Maybe some therapy to help work things out?