They will just do it in secret. You’ll never 100% stop it. Like wanting criminals to get background checks.
I think you missed my point. The agents of infanticide are very predictable on two reactions:
1. Oppose every restriction no matter how minor on infanticide.
2. Scream that said restrictions will force women into having abortions performed with wire hangers.
My proposal would put them in the dilema of giving up on #1 or pushing to protect #2.