You see there are two types of feminists:
The vast majority are those who want, simply, a better deal. An equal deal. Where a women will be respected for her work, where a capable women will be paid just as much as a capable man (and no, the salaries are not equal, and never have been), where a women will have the right to determine who she lives with and how she lives. Where a women will get a fair deal in court, and won't have to feel like a second class citizen, and live the life she wants, for herself. These types of feminists (which include men, since men can be feminist), make up the vast, vast, vast majority of feminists. I would say they make up 95% of all feminists, and they are just the sort of people we need to make the world a better place.
But then there's the other 5% - the unhinged types who see sexism literally in every single aspect of society. EVERY ASPECT. Even in maths - not the hiring practices of mathematical institutions (which are actually sexist), but in the basic theory of mathematics itself. You know like how equations are "masculine" because apparently they equate masculinity with "right and wrong", and in a feminist world, maths would have no right and wrong, but instead be more tolerant or some other such bollocks. These types of feminists are closely linked with the radical communists of the 60's, who saw all aspects of "Western" culture to be evil and destined to be overthrown. For all their talk of how "black/white" views were sexist, they themselves saw the world in completely black/white terms: That the current society was sexist in every way and needed to be completely re-worked in every aspect, that there were ABSOLUTELY NO DIFFERENCES AT ALL between men and women except in the reproductive department, and that absolutely EVERY SINGLE aspect of human behaviour WAS TOTALLY UTTERLY AND ONLY caused by society, and thus, all of society was sexist. I stress, again and again, that these people were a minority. They got attention simply due to volume and provocative statements. They NEVER spoke for the majority of feminists during their time, and they definitely don't now-a-days. No feminist these days would call E=MC^2 a sexist equation, because, frankly, they'd be rightfully laughed out of the room, by other feminists themselves.
As for the whole "man-hating" thing - there were a few feminists who thought that the way sex was practised was a part of the "male culture" and thus, sex itself was sexist and that all men were sexist. I stress that these people were in the minority then and are now. There are two camps of feminism (and I am aware that I am vastly oversimplifying things): Sex positive feminists and Sex Negative Feminists. Sex positive feminists are the ones who believe that an individual woman has the right to live out her sex life in the way she wants, and that if a woman wants to have a lot of sex, it's her right to want that and she shouldn't feel ashamed. She has the right to wear what she wants. Sex-positive feminists aren't advocating that all women have a lot of sex, but only that if a woman WANTS TO, SHE SHOULD HAVE THE CHOICE. Sex-positive feminists recognize that some women really like sex and should have that as a positive part of their lives if that's what they want. All they ask is that the social stigma of sleeping with multiple men be erased in the same way that men who sleep with a lot of women don't have a stigma attached to them. I like sex-positive feminists. They are libertarian at heart.
Then you've got the Sex-Negative Feminists. I typically don't like these people. They are the over-bearing fussy types who believe they have a right to tell women how to live their lives, they believe that they are the ones who will "open the eyes" of their fellow women. How they can call themselves feminists when they look down on so many of their fellow women puzzles me greatly. These are the types who are more inclined to see sexism at the very fundamental level of absolutely all of societies activities.
But I stress that both camps really only want one thing: Equality. Yes, there are misandrists in the feminist movement, but they are small. There are a LOT MORE misogynists in the "Men's Right's" camp, which seems to be to be populated mostly by whinging cry-babies who don't like the fact that their wives or girlfriend's left them, or that their daughter will not obey their command.