There is only one thing that will stop out of wedlock births...or at least slow it up...social ostricism of the woman and man combined with ending any programs for unwed mothers. Let the churches and adoption agencies take care of them.
Social ostracism of women has never worked. That's how we got into the abortion mess we're in now.
We never tried social ostracism of men, only women and children.
This study suggest dual responsibility works.