It's not quite the same degree of burden for men. My dad got my mom knocked up, I was born, then 5 years later he divorced her. Myself and 2 of my siblings went with my mom. My dad never paid a dime of child support. If we'd died, I doubt he would have cared. (And to be fair, because of that, when he died, I didn't even know until 7 years later.) He actually declared us as dependents for several years, for the tax break, while we were with my mom and he wasn't paying any child support at all. He was pissed when I sicked the IRS on him some years later.
It's very, very easy for a man to 'stick it' to a woman, figuratively after literally. And then what? Where'd that shared responsibility go? Oh, sure, sometimes they go after the man and garnish his wages or whatever, but often, there's no punishment and when there is, it's minor.
If ever abortion is recriminalized, I would want the onus put much more on the man in the ways that don't relate to the physical burdens, where obviously the women has to carry the weight. For instance, if a man and a woman have a child, the man is held accountable for his full share of the expenses. Miss a child support payment, even one, five years in prison. Miss two, ten years. Miss three, you don't get out again. Fatherhood is serious business, but so many treat it frivolously, and the child and often the mother pay the price for that. Well, make the punishment for avoiding the responsibilities of fatherhood very severe and people will have great incentive to take it as seriously as it should be taken. No more 'dick her and kick her' mentality. Also, the man pays more than half the cost, to compensate for the fact that women are paid less for doing the same job with the same experience. If ever that changes, then the man's share should be reduced to match the new more-fair statistics, of course.
This would accomplish several things: 1) men would take a lot better care of their sperm spigot, because the consequences of being irresponsible will fall as much on them as on the woman; 2) the children won't get screwed by deadbeat dads; 3) the woman will know the man is going to be there financially until the child is an adult (or else) so she won't be so scared of being forced to handle the burden completely alone. Oh, and 4) the irresponsible fathers will spend a great deal of time being assfucked by gangbangers as a motivational and educational lesson. Responsible fathers would have nothing to worry about, of course.
I'd prefer for women to maintain the freedom they already have. But freedoms of all kinds are under assault these days. If my back is against the wall though, I would at least demand these small changes, as a compromise. But again, I can't really imagine voting to revoke that freedom from women. I'm too much of a pro-freedom kinda guy.