Obama is hiding much more than the circumstances of his Birth.
As I read th end of this piece, Obama would qualify as a natural born citizen. His mother was a citizen and, although his father was a non-citizen, he did reside for a time in the US. Or am I reading it wrong?
According to this definition, if Obama was born in Hawaii, he is eligible to run for President.
If you believe that this subordinate clause applies to the whole law, then you must accept that ONLY people not born on U.S. soil are eligible to be President.