“subject to the jurisdiction thereof”
Ambassadors and their family have diplomatic immunity and therefore are not “subject to the jurisdiction thereof.”
Illegal aliens are, which is why they’re a high percentage of those in federal prisons.
You are mistaken when you say they cannot be sentenced to a punishment not allowed in their home country, by which I assume you are referring to capital punishment.
AFAIK, there is no legal prohibition against such punishments, though there may be treaty provisions with individual countries that apply. I believe the state department often asks states not to impose the death penalty for purposes of good foreign relations. But I don’t think there’s any way to actually prevent a state from doing so.
But the fact that such a person is being tried at all indicates he is subject to, etc.
In any case, the legality of the parents has no inherent bearing on the citizenship status of the child. Possibly it should, but at this point it doesn’t.
• be called to jury duty
• be drafted into the military
• hold public office -- IE: elected to the House, Senate, or similar publicly elected position
• be employed by the US Government (without stealing someone's ID)
• vote (legally, that is)
• get a social security card (legally, that is)
• or anything else a US Citizen can do without problems
That is why those here illegally do so much to conceal who and where they are. They want absolutely nothing to do with those attempting to apply the jurisdiction of the US to them and their loved ones' lives. BUT, they want all of the benefits of the CITIZENS of this nation without any of the accompanying responsibilities, to include said citizenship.
You think they are under our nation's jurisdiction, but, in truth, they are far from it. And our emperor is attempting to help them achieve their goal.