State Department says born of US parents on foreign soil is a US citizen.
http://travel.state.gov/travel/cis_pa_tw/cis/cis_1753.html
...a child born in a foreign country to U.S. citizen parents may be both a U.S. citizen and a citizen of the country of birth.
“State Department says born of US parents on foreign soil is a US citizen.”
A U.S. Citizen can’t become president anymore according Article 2 Section 1 but a natural born Citizen born within the jurisdiction of the U.S. can. Only at the time of the adoption of the Constitution could a Citizen become a president.
Article 2 Section 1
No person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty-five Years, and been fourteen Years a Resident within the United States.
That’s with 2 US citizen parents.
What about 1 US citizen parent and one parent of another nationality.
The "State Department" is not the Authority from which Constitutional Articles derive their power. Indeed, it is the State Department which obtains it's power from Constitutional articles.
Apart from that, most of these citizens to which the state department refers are only citizens because Congress created a law GRANTING them (conditional) citizenship.
This is not the same thing as having "natural" citizenship.