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.-- having
or naturalizedthere means that this cannot be used to let congress define who is natural born, indeed it restricts the states from considering Dred Scott's reasoning that a slave cannot be a citizen [extending this, the not-citizens of the emancipated slaves] because they were property [and, of course, the product of two pieces of property could not somehow become a citizen by "accident of birth"].
So, again, no new powers were assigned to congress with respect to citizenship.
Go, Cruz, GO!!