No. I mean both men and women will be sterilized.
But, I'd also invest in developing a way to make it less invasive for women or compensate them generously for the duress and lost time in recovery. And no one would be charged for the procedure.
I'm not completely heartless ;), especially since I'm a woman my self.
Though in fairness to our make believe situation, I could do that with the glove, right? Snap my fingers at the end of each day and everyone who's produced a child that day is sterilized.