I don't see woman asking for conscription quotas when a 1st world country that doesn't make gender discrimination goes to war.
Actually, here in Norway last year we became the first country in Europe and NATO to introduce gender-neutral conscription. It was quite amusing to see how first those opposing it was accused of feminism by grabbing all the perks but not doing the same duties of being a citizen. Then as the public opinion turned those in favor were accused of feminism by disregarding the differences between the sexes and weakening our military through physically less able women, like they were only there to fill a gender equality quota. If you didn't want military service you were a feminist, if you wanted military service you were a feminist. Go figure.
I think we made the right choice though, whether you're male or female if you're young and fit you're certainly "good enough" for military service. We're not training people for the elite specials division here, most of them will go into our version of the National Guard and have one or two refresher sessions a year, just enough to remind people what end to shoot the bad guys with. And there's plenty jobs in a modern military that takes more brains than brawn. Yes, I know carrying equipment and supplies still matters but the type of service should go by physical requirements, there'll be something for everyone.