If you think men and women should have equal rights, you are a feminist, no matter how much you try to deny it. And if you don't think men and women should have equal rights, then you are a complete asshole.
There are many aspects of equality that feminists are trying to incorporate into equality, not just social, political and economic equality. We need to bring down the patriarchy and the conception that men are superior to women.
Just remember that the vast majority of violence against women AND MEN is perpetuated by men, but abusing someone NO MATTER YOUR GENDER is not okay, and it's DEFINITELY not okay for WOMEN to abuse men either. It is abuse.
The basic definition of feminism. (Honestly, though, I don't think any woman actually thinks like this. It's just a straw(wo)man anti-feminists made up.) <- And if they do think like that, it's called misandry not feminism.