“Well aren’t children born of aliens made, or declared, US citizens via naturalization legislation?”
No. Not when they are born in the USA.
The US Congress has the power of naturalization, and they can pass laws setting up the criteria for making someone a naturalized citizen. If they are born a citizen, then they do not need naturalization, since they are NBC/14th Amendment citizens.
“This section contemplates two sources of citizenship, and two sources only: birth and naturalization. The persons declared to be citizens are “all persons born or naturalized in the United States, and subject to the jurisdiction thereof.” The evident meaning of these last words is not merely subject in some respect or degree to the jurisdiction of the United States, but completely subject to their political jurisdiction and owing them direct and immediate allegiance. And the words relate to the time of birth in the one case, as they do to the time of naturalization in the other. Persons not thus subject to the jurisdiction of the United States at the time of birth cannot become so afterwards except by being naturalized, either individually, as by proceedings under the naturalization acts, or collectively, as by the force of a treaty by which foreign territory is acquired.”
http://supreme.justia.com/cases/federal/us/112/94/case.html