Issue 1 - A karyotype that is as accurate as the age-old glance at the newborn's genitals would require lab work. Mandating such a change at scale would see push-back from almost all of the parties involved, from new mothers to insurance providers.

Issue 2 - You are suggesting an objective and emotionally (fairly) neutral fix for a hot-button culture war issue. While admirable, this is much like hoping that pacifists will win a shooting war.