Explain.
Essentially, we officially recognize a woman's right to "reproductive freedom" as defined by the abortion advocates themselves. But, we also maintain it is fundamentally unjust to allow women to have the entire gestation period of the fetus to decide whether or not to reproduce, but expect men to make that decision before the procreative act is even performed.
We provide for male reproductive rights by allowing "paper abortions." At any time during the pregnancy, the male may got to the local courthouse and officially disavow any responsibility for the child if born. Also, children born without official notification of the father would automatically be considered "aborted" unless he accepts fatherhood.
In this way we enlist the ranks of deadbeats to overcome the abortion advocates by turning them against each other.
Thus the original dynamic is restored, and they did it to themselves!
The reason we have the butchery we have now is because pregnant woman have a "heads I win, tails you lose" situation that relies on "women's rights" on the one hand, and compassion for children in compeling fathers to support on the other. Whatever she decides, he's compelled by law to facilitate.
We can break that vicious circle by doing nothing more than giving to men what feminist have been calling a woman's right for 50 years.