“In other words, Mexicans who enter illegally are STILL Mexican citizens.”
I don’t think anyone argues that.
“Being a non-registered agent does mean they are “under the juristiction”.”
No, but being within our borders, without some special diplomatic status does mean they are “under the jurisdiction” of the United States. As I said, if they aren’t under the jurisdiction of the US, then they cannot be charged with a crime if they violate our laws, as that is the simplest demonstration of jurisdiction. You yourself admit they can be charged with crimes, so you have also admitted they are under the jurisdiction of the United States while they are here, whether you wanted to or not.
“You go and try giving birth in Mexico to see if they give your kid automatic Mexican citizenship. It ain’t happening.”
Mexico’s laws are irrelevant as to what the laws of the United States are. So this is just a distraction.
Jurisdiction in regards to criminal activity is not the same as jurisdiction in regards to automatic birth citizenship.
If I am from Mongolia and travel to Texas to commit a crime, the cops aren’t going to call the Mongolia state police to charge me. They don’t care where I come from, nor my immigration status. They only care that I broke the law in their locality. So are they going to tell me that since I am in their custody (awaiting trial) I can give birth citizenship? It makes no sense and destroys the whole notion of citizenship.
Next, you’ll say that since humans are citizens of the world they are also therefor citizens off the planet earth so can claim to be citizens of ANY country.