The wording in later definitions of what is a U.S. citizen by birth pertains to citizenship. Where is the wording that says such citizenship describes a natural born citizen? I hope someone can get the wording that makes the connection.
Of course Obama broke that law, but he's a DEM.
The logic goes like this: Congress has the power to make rules of naturalization. If it makes a rule that attaches citizenship at birth, without going through a naturalization process, that rule is not a rule of naturalization. But, Congress is empowered to make that rule because it has the power to make rules of naturalization.
The sleight of hand is to skip past the constitutional grant of power, and look ONLY at whether citizenship attaches at birth, and whether citizenship involves going through a naturalization process. Voila, Congress defines natural born citizen. It means whatever Congress says it means.
Congress can transmogrify "naturalized" into "natural born citizen" simply by drafting the statute so that citizenship attaches at birth, without going through a naturalization process.