Specifically, the new State Law law bans:
"creating or attempting to create an in vitro human embryo by any means other than fertilization of a human egg by a human sperm."
Maybe this law is a reaction against Human/Chimp breeding experiments of the 20th century (the Humanzee)?

The Humanzee
Or, now that they have decoded the Neanderthal genome, perhaps they fear a new race of sub-human hippies?

The few, the proud, the Neanderthals
Or maybe the law refers to the breeding experiments that created the French Ballchinians?

French People