First....I never said this is what I want, I'm saying it is what the 14th says and has been interpreted as by all the Courts, since the amendment passed around 150 years ago, and if we want to change it, then we need to amend the 14th.
I am a citizen of the united states due to being born here and my father is an American born citizen with family roots here in America since the early 1600s, and I'm also a citizen of Italy due to my mother being an Italian born citizen....and being born a year before her 5 year Visa waiting period was up before she was approved for her U.S. citizenship and becoming a U.S. citizen. Having duel citizenship does not make me or my older sister's allegiance lean towards Italy over the U.S. The U.S. is my country, and has been my entire life....though I did live in Italy for 3 years when in elementary school and Junior high school when my dad got transferred and Stationed there....while there I went to school on our Military Air Force base....American schooling, not Italian schools.
I and sis, have always been under the jurisdiction of the United States, and so has my mother from the moment she arrived on the Airplane with my dad....even though it took 5 years to get her citizenship after she arrived....and, we three have always held Italian citizenship as well, but are NOT subject to Italian jurisdiction....or Italian allegiance of any kind.
The answer to your question is these children born to Mexicans while living here, are US Citizens and under our, U.S. Jurisdiction, not Mexican.
Only foreign alien diplomats/ambassadors serving their foreign country in the united states for their foreign government and paid by their foreign gov't, are not under our U.S. jurisdiction, (nor would foreigners who served their foreign country at war with us, be under our jurisdiction)
We have Treaties we've signed that agree to these diplomatic immunity rules with foreign countries exempting them from our U.S. Jurisdiction that were in place prior to this 14th amendment, that covers our Diplomats when in foreign countries as well....
If we want to change the 14th A, it has to be done thru another constitutional amendment....that's where I stand.