That is PRECISELY what the “natural born citizen” clause in the Constitution is all about.
Perhaps people today don’t get it directly because the phrase is not one in common use, but it sure was well understood in the 18th Century, and the Founders knew PRECISELY what it meant, and believe me, they were VERY concerned about individual with divided loyalties through their birth circumstances.
People who, like Barack Obama, had dual citizenship at birth, were precisely the people this clause was directed at. To be a “natural born” citizen, one must be born in the United States and have a US Citizen father. That’s what was understood by the Founders, and that’s what they meant when they wrote the Constitution.
The Constitution mentions only two forms of citizenship - natural born and naturalized. If you're not one then your the other, and per the 14th Amendment, relevant Supreme Court, and applicable U.S. law people born in this country are natural born citizens regardless of the nationality of their parents in most cases.
To be a “natural born” citizen, one must be born in the United States and have a US Citizen father.
That may be your opinion and your interpretation of the founder's intent. But it is not supported by the Constitution, the law, or the courts. So long as he was born in the U.S. Obama, as well as people like McCain and Jindal, meet the Constitutional eligibility for the presidency.