You’re wrong.
Using your logic, anyone in the geographic limits of the United States - tourist, businessman, airborne passenger over Kansas on a Mexico-London flight is subject to the draft, income tax, voting laws, whatever, because just being here means they are subject to ALL laws.
You would make a great SupremeCourt Justice in the manner of Sotomayor, Brown, and Kagan.
All of those people are subject to the criminal laws of the United States. I'm not sure how the draft got dragged into this, but that is a disingenuous argument. Females are not subject to the draft in this country, so by this logic, females are not subject to the jurisdiction of the United States. That's just a ridiculous argument.
Not knowing the language of the laws, draft laws for example, I can't be sure, but I suspect that it is limited to citizens and permanent residents (not someone flying over). And non citizens are not supposed to0 be voting so are subject to voting laws. I believe the intent is to make everyone subject to the APPLICABLE laws.