You're in luck, since feminism isn't about the hatred of men, it's about striving for equality for women. Describing feminism as "hatred towards men" is like describing the Emancipation Proclamation as "injustice against white people".
It also doesn't involve women acting like men. In fact "Girl Power" was very much sex-positive and about retaining and affirming femininity.
I think one of the problems here is that there are so many forms of feminism. Man-haters do exist, even if they are few.
Thing is, we tend to hear those who scream loudest, or express the most extreme viewpoint, and that is how "Nazifeminism" became a thing, along with "gender fascism". It does exist, we've just alowed the few to dominate the debate. By giving them air time.