They want to eliminate the competition because believe it or not, nobody loves men like the women who claim to hate them. If they can get enough women to hate men, they believe it increases their chances of getting the type of man that they want.
You cannot believe this without believing that women are inferior. The only way debasing a man for being in a position you consider feminine works is if you think of femininity as degrading. It speaks more to your perception of your own worth than it does about his.