Feminism holds that men and women should have equal rights (e.g. Feminism on Wikipedia).
Many religions preach that men and women are fundamentally different, and even that men are superior to women. Such religions oppose feminism.
I can understand why people would differ widely in their views as to the means of achieving equal rights, as many policies or campaigns can backfire and have unintended side-effects. But is there any non-religious opposition against the aims of feminism? What is the nature of this opposition?
The Wikipedia article on Antifeminism is very limited.
Clarification: I am looking specifically for non-religious reasons cited by non-feminists describing why they oppose feminism.