[Jim Noble]

The very categorization of "illegal alien" implies that those in that category are subject to the jurisdiction of the United States, because they can be charged for breaking the law. They are governed by our laws, and thus are subject to the jurisdiction of the United States.

Yes!

If the United States can detain you, confiscate your possessions, and put you on a plane, bus, or train and forcibly relocate you to Honduras or wherever, you are MOST CERTAINLY "subject to the jurisdiction" of the United States.

[RideForever]

If the United States can detain you, confiscate your possessions, and put you on a plane, bus, or train and forcibly relocate you to Honduras or wherever, you are MOST CERTAINLY "subject to the jurisdiction" of the United States.

Actually, you [sic] are merely subject to the judicial laws of the country they invaded. They and their kids don't get amnesty and US citizenship for their kids by breaking our laws.

Jurisdiction has 2 components; sovereignty among nations (citizenship), and legal governance (legislation, judicial) among its people and visitors, within its borders. Treaties fall in between (Executive, Legislative).

[DiogenesLamp]

If the United States can detain you, confiscate your possessions, and put you on a plane, bus, or train and forcibly relocate you to Honduras or wherever, you are MOST CERTAINLY "subject to the jurisdiction" of the United States.

Using that example, Saddam Hussein and Osama Bin Laden were both subject to the jurisdiction of the United States, but I don't think they were citizens.