“If mom can be arrested for being a drug mule or any other crime such as income tax evasion or illegal entry in the USA, shes under the jurisdiction of the US.”
So says you, but it is defined here”
https://www.law.cornell.edu/cfr/text/31/515.329
and here:
https://www.law.cornell.edu/cfr/text/31/515.330
So the statute can be revised.
He is correct. Those rules define the "person" who is under the jurisdiction. Remove someone from that and you make them not under the jurisdiction, which means not subject to our laws.