I am a non-religious woman who is opposed to feminism because I am a stranger rape survivor. Feminists only recognize two groups of people it seems: us and them. This is because it is based in Marxist ideology but trust me - almost no feminist will admit to it, and most of them don't even UNDERSTAND the roots or CONTEXT from which feminism came. No matter - if you don't agree with them they assume you are some kind of religious bigot. (pot meet kettle)
Feminism has an ever expanding list of unattainable goals, and will not compromise them. Instead they beat people over the head with the metaphorical stick over petty inter-feminism squabbles like whether someone uses the word prostitute instead of "sex worker", and make a mockery of rape advocacy (see: Slutwalk: an "anti-rape" movement formed by two feminists, neither of whom have actually EVER BEEN RAPED, where rape victims are supposed to run around in public in their panties to "protest rape") facepalm
Yes, feminists are so very helpful to us raped people - they want to put us to put our flesh on display to the public to win points from their friends - how cute!
So anyhow, there is actually a lot of non-religious anti-feminism but the FACT that feminism has such an us against them mandate that they often think "anti-feminist" = religious/conservative/racist/mra. This is reductionist in the extreme. I am not an MRA, I am not conservative, I am not racist, and I am not religious, but I AM ANTI-FEMINIST.
I am against feminism because it is extremist ideology on par with religious fundamentalism, and because they ASS_U_ME that if you are against unequal treatment, racism or sexual assault that you also want to support their "pet" causes: BDSM, fat acceptance, polyamory, blogging about their vaginas, calling people who disagree with them bigots and generally being obnoxious, snotty little bitches all over the internet (source see - feministe.us, Amanda Marcotte, Renee the rampaging racist - sorry Womynist Musings, Jezebel.com etc.)
So yes, there are plenty of non-religious anti-feminists. However, the fact that the question is posed this way points to the main issue here. Feminists seem to often have a hard time believing that any women would not just jump on their bandwagon (women's right's yay!) instead of applying critical thinking and deciding whether or not their platform is legit. I think most women fall somewhere in between, but feminists rarely acknowledge criticism about their group from non-feminist women and often immediately assume they are right-wing or religious (because of course in their world there are ONLY TWO options feminist or bigot, you know).
For instance, they typically accuse me of being a religious conservative the minute I raise any sort of objection that their platform is political at it's core and NOT really about "women's rights". Most anti-feminist women I know (and I do know a few non-religious anti-feminists in real life) because they are rejecting feminism for its ignorance and iron fistedness - not because they are religious, conservative, or against women's rights. Also feminism does not equal women's rights. Feminism would not even exist without Marx - where do these ladies think this idea of "privilege" they love to beat each other over the head with online came from hmmmm?
At any rate, there are plenty of non-religious anti-feminists but they are rarely acknowledged. I for one, wish feminists would quit acting like it is their RIGHT to speak for ALL women and that if someone disagrees with them WHY THEY MUST BE A BIGOT. Pot meet kettle. Also, IMO they should stay the hell, out of rape advocacy. Just because someone is a victim of a violent crime doesn't mean they have a right to exploit them.
I swear it's like having your wallet stolen and then finding out that the victim's advocacy group called "Help for Victims of Pickpocketing" is most concerned with "fat acceptance" and "liberation for sex workers" and that unless you support their fringe causes they will label you a bigot. Just because I was raped doesn't mean I have to care about feminism or it's dumb causes, and I really wish they would quit acting like rape victims should appreciate that they blog about rape all the time (never mind that they make advertising dollars off all those "rape clicks"). Ah, feminism - the most exploitative anti-exploitation movement ever!
Anyhow, I am anti-feminst, non-religious and pro-human rights and no that's not an oxymoron. Thanks.