The U.S. has never recognized dual citizenship. One is either a citizen or not a citizen. If one is a citizen, one is a citizen by birth (i.e., a natural born citizen), or by naturalization. There is not, nor has there ever been, a third “type” of citizenship.
Yes, the founders wanted to ensure that a President was wholly loyal to the United States, but they sought to do so by requiring that the President be a citizen from birth, not through naturalization.
Your argument sounds nice, but, frankly, it lacks Constitutional, statutory, historical, and case-law support of any kind.
Sen. Lyman Trumbull, Chairman of the Judiciary Committee, author of the Thirteenth Amendment, inserted the phrase:
... All persons born in the United States, and subject to the jurisdiction thereof, are citizens. That means subject to the complete jurisdiction thereof. What do we mean by complete jurisdiction thereof? Not owing allegiance to anybody else. That is what it means ... Can you sue a Navajo Indian in court? Are they in any sense subject to the complete jurisdiction of the United States? By no means. We make treaties with them, and therefore they are not subject to our jurisdiction. If they were, we wouldnt make treaties with them...It is only those persons who come completely within our jurisdiction, who are subject to our laws, that we think of making citizens; and there can be no objection to the proposition that such persons should be citizens ...
Rep. John Bingham of Ohio, considered the father of the Fourteenth Amendment, confirms the understanding and construction the framers used in regards to birthright and jurisdiction while speaking on civil rights of citizens in the House on March 9, 1866:
... I find no fault with the introductory clause [S 61 Bill], which is simply declaratory of what is written in the Constitution, that every human being born within the jurisdiction of the United States of parents not owing allegiance to any foreign sovereignty is, in the language of your Constitution itself, a natural born citizen...
That is in fact the point of the lesson ... because Barack Obama by his own admission had British citizenship at birth that his father registered for him, Barack Obama could not be an American citizen naturalized until his British citizenship expired. You tell me the U.S. has never recognized dual citizenship (false, I have a cousin who is now naturalized here and still holds her Mexican citizenship) yet you expect that Barack Obama can claim British and American citizenship? Is that what you’re trying to tell me?