Obviously a troll question. But let's answer anyways.... Men aren't the ones actually giving birth. Also men can and do use condoms which is basically almost equivalent to a birth control.
Then there's the fact that you're wrong about men can give more babies to different women than women can give more babies to men. Women are the gender in demand by both men and women. Men are very little in demand. (see all the girls on social media, cam models with VERIFIED accounts, asking to get it on with other girls specifically stating "no men." Then notice there are no women asking for men to get it on. Then see there are "Ladies Nights" at bars and clubs (place where men go to find women and vice versa) and no "Men's Nights." The bars & clubs do that to get women to come in, so the men can have a reason to go. If women were looking for men as much as men are looking for women, there would be no need to host "Ladies Nights." Those statistics tell us that women can easily have 1,000 different partners whereas men would have to be EXTREMELY lucky to have 1,000 partners .. a man having 1,000 female partners would be thought of as a God!