I'd like to raise a less thoughtful response to this particular suggestion:
One of the potential ramifications is that men might be called upon to help support their pregnant lovers before birth, even if the pregnancy is ultimately terminated or ends in miscarriage. They might be asked to chip in for medical bills, birthing classes and maternity clothes, to help to cover the loss of income that often comes with pregnancy, or to contribute to the cost of an abortion.Emphasis added.
I'm willing to accept that a man who gets a woman pregnant ought to take responsibility for providing for her needs during pregnancy. That all makes sense to me, although Taranto's objections regarding incentives do seem like relevant concerns.
But there can be no accommodation on the question of forcing a man to pay for the abortion of his own child. It's hard enough that we require a man to endure the killing of a child he may want, if the woman carrying the child decides that she prefers it dead. There can be no moral argument for forcing him to pay for the poisoning of his own flesh and blood.