Not at all. The people who ultimately determine his qualifications are the Electors in each state.
"Besides, the state of Hawaii says his Certificate of Live Birth is on file."
Saying a "Certificate of Live Birth" is "on file" is NOT the same thing as releasing the information contained in said certificate (such as WHERE the birth took place).
"Obamas got Hawaii state law on his side..."
Hawaii law means squat. It is up to Obama to prove his qualifications meet the requirements for "natural born citizenship". And any of the Electors who file suit (or are included as part of a suit) have "standing" to sue.
You are dead wrong.
It is not up to Obama to prove squat. He qualified on the ballot in 50 states and in the District of Columbia. If he was unqualified to run for President, he should have been disqualified from being on the ballot.
There is no law in any state or at the federal level that requires a candidate to prove their natural born status by ONLY producing a vault copy of their birth certificate. Obama’s short form COLB issued by the State of Hawaii is good enough and that document says that he was born in Honolulu, Hawaii on December 4, 1961.