Your understanding is not that of the Supreme Court. I suggest you read the decision in US vs. Wong Kim, 1898. It explains the types of citizenship in great detail.
There are only two classes of American citizens, natural-born (citizens at birth) and naturalized (acquired citizenship after birth.)
If Obama was born in Hawaii, he is natural-born. If he was born outside the US, he might still qualify as natural-born through his mother's citizenship, but the question gets a great deal messier.
Meanwhile, the only thing the American Voters have seen is a FORGED Certification of Birth (short form) and nothing else.
Even to the most ardent Obama fans, this is FISHY!!!
VITAL INFORMATION: (please bookmark to show to Obama fans)
Dr. Polariks video summarizing that Obamas Birth Certification is a FORGERY
If you have not already done so, PLEASE sign these two online-petitions:
AND:
Petition from Concerned American Voter
PLEASE pass them on!!