“Thus anyone who is a citizen, at birth or later, only because of those sections, or any other Congressional laws, must logically be a naturalized citizen.”
That’s a contradiction. Naturalization only happens *AFTER* birth. Birthright (’natural-born’) citizen and naturalized citizen are mutually exclusive.
'Fraid not. Congress only has the power to "establish an uniform Rule of Naturalization". They cannot define who is a "natural born" citizen. They can only define who can be naturalized, and how. Thus anyone not a natural born citizen, or a so called 14th amendment or "native born" citizen, who is a citizen solely by virtue of Congress' "Uniform Rule" is a naturalized citizen.
Where you go wrong is assuming that "birthright" and "natural born" are the same thing, they aren't. There are (at least) three circumstances where one is born a citizen. One can be natural born, one can be native born (which Obama would be if born in the US) , or one can be naturalized at birth under statute law, (which he would have been if born outside the US and his mother had been a bit older).
Either that, or the Constitution does not mean what it says, which appears to be the Obamites' position.