Write the laws based on the citizenship of the parent(s).
Born in the USA is a fluke method and it only encourages the gaming of the system by people that don’t belong here. And keep on with this madness and then let’s see how their descendants treat ours.
For the longest time, my father would hire illegals to help adminster our ranch. My mother died when I was a toddler and I was raised by a the wife of one of these. I was speaking Spanish before I spoke english. Their children were for all intents and puposes my brothers and sisters. Their children were all born here. All grew up to be true, blue patriotic Americans. One of the girls is a doctor. All the boys served stints in the Army, one even retired after 20+ years of service. They have not one drop of sentiment or loyalty to Mexico. Under what you propose, these people would never have been allowed to live here and America would have been worse off for it.
My father was not the only one around here who did this. The ranchers would hire these people then sponsor them as residents. Many of them had children who were born on American soil when they were illegal. I knew their children. Went to school with them. Played football with them. Proud Americans, every single one of them.
The Anchor Baby arguement is really not that realistic. You would not stem the tide in the least as most of the illegals coming over are not families but single.