Are female critics against the entire concept of feminism or are they mainly against specific details?
I suspect that some of the anti-feminism-as-a-concept women have bought into the myth that feminists are trying to steal society from men, castrating men into oblivion. Stealing is bad and women should not do such a bad thing. After all, that would be so un-ladylike and un-feminine.
What motivates such a women to support her own discrimination/oppression? They seem determined to stick up for the rights of men who are not currently oppressed but whom they assume would become oppressed in a feminist people-centred (i.e. female AND male-friendly) world. They seem to expect feminism to contiue to make the mistakes of the patriarchal past, with dominance of one group over the other, but they lack evidence for that assertion. Perhaps they also mistakenly equate feminism with lesbianism with all the homophobia that entails? Personally, I equate feminism more with not wanting to be a doormat.
One problem I have with women dismissing feminism-as-a-whole is that it implies to me that men are seen as the legitimate owners of society in the first place. I challenge that and think men do not have legitimate ownership of the "man's world" that we find ourselves inhabiting.
I have respect for some women who are against specific "policy details" of feminism - it's a fair political/operational difference of opinion. Perhaps these women are not actually anti-feminist, merely unwilling to call themselves feminists.