First, I have no idea what the "facts" are regarding Obama's INS record, and neither do you. But, what does that alleged INS file have to do with Hawaiian law? Nothing, nada, zip, zero zilch.
Barack Obama's Sr.'s name IS on that birth certificate, and he was married to Obama's mother. THAT is ALL he needs to be exist for Obama's father to be the one of the two legal parent - per HI law and PER US constitutional law (Armstrong v. Manzo).
Signature, no signature, footprint, no footprint - it's all IRRELEVANT. Barack Obama Sr. was Barack Obama's Jr's LEGAL natural father. It can't be any more simple. I