The reason illegals can be deported is because they ARE “subject to the jurisdiction” of our immigration laws. The only people in the U.S. who aren’t subject to the jurisdiction of U.S. law are people with diplomatic immunity and members of a foreign invading military on American soil.
Under federal law, anyone with a U.S. Passport is a national and/or citizen:
The law: 42 CFR § 435.407 Types of acceptable documentary evidence of citizenship.
For purposes of this section, the term “citizenship” includes status as a “national of the United States” as defined by section 101(a)(22) of the Immigration and Nationality Act (8 U.S.C. 1101(a)(22)) to include both citizens of the United States and non-citizen nationals of the United States.
(a) Primary evidence of citizenship and identity. The following evidence must be accepted as satisfactory documentary evidence of both identity and citizenship:
(1) A U.S. passport. The Department of State issues this. A U.S. passport does not have to be currently valid to be accepted as evidence of U.S. citizenship, as long as it was originally issued without limitation. Note: Spouses and children were sometimes included on one passport through 1980. U.S. passports issued after 1980 show only one person. Consequently, the citizenship and identity of the included person can be established when one of these passports is presented. Exception: Do not accept any passport as evidence of U.S. citizenship when it was issued with a limitation. However, such a passport may be used as proof of identity.
(2) A Certificate of Naturalization (DHS Forms N-550 or N-570.) Department of Homeland Security issues for naturalization.
(3) A Certificate of U.S. Citizenship (DHS Forms N-560 or N-561.) Department of Homeland Security issues certificates of citizenship to individuals who derive citizenship through a parent.
(4) A valid State-issued driver’s license, but only if the State issuing the license requires proof of U.S. citizenship before issuance of such license or obtains a social security number from the applicant and verifies before certification that such number is valid and assigned to the applicant who is a citizen.
[excerpt]
https://www.law.cornell.edu/cfr/text/42/435.407
Look at this way; Let's say a pregnant woman breaks into your home. While inside, she goes into labor and has her child. Because the child was born inside your home, within your jurisdiction, that child is now a full-fledged member of your family with all that entails.
Insane, isn't?