> All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.

Notice the "and" clause before the "subject to the jurisdiction". It means "everyone who is born in the united states and additionally everyone who is subject to a US jurisdiction". It's the clause which allows people born on US military bases to also be citizens of the US because that's a jurisdiction of the US. For example, Ted Cruz. It does not mean "Who are also"

And since this is a clause which additionally adds on people it's talking about, you could exclude it all together. "All persons born or naturalized in the United States ... are citizens of the United States".