Would a policy like that ever pass? Again, Indiana's doesn't have the "office" stuff but it's pretty close. Would it prevent all women from voting? No. But you don't need to do that really, you just need to pull their turnout down. Same thing with gerrymandering, voter intimidation, etc. You just need to give yourself an solid advantage. And putting Vote Centers in secure offices where the majority of people are male, and then cutting precincts where the makeup is balanced, increases voting access for men and decreases it for everyone else (well OK, middle class and higher men, but you get my point).
Or if limiting voting access is too abstract, look at equal pay. Look at women's health clinics being forced to shut down because they provide abortion services (a crucial component of women's health). Look at women not being allowed in active combat until very, very recently (military promotions are hard to get w/o active combat -- wonder why only 7% of the US' generals are women...).
So no, I don't think we'll repeal the 19th Amendment tomorrow. I think people who are racists, anti-feminists, homophobes, etc. have other tools they use that are actually pretty effective.
Like requiring them to register on some list making them volunteer for war before they can vote?
But you're right, gender roles harm everyone. You can look at the effects of our idea of "masculinity" on male health, they're pretty devastating. One of the main goals of feminism is to eradicate gender roles so people are free to live how they like without laboring under some ancient, outdated ideas on how they should act based on their sex -- which they had no part in choosing.
Do you honestly believe this? Do you think that tomorrow, most people will wake up and decide women shouldn't be allowed to vote? Is that an active thing that you fear?