As I understand all of the arguments, those trying to have him DQ'd say one or more of the following:
1) He wasn't really born in HI
2) Even if he was, his mom being <18 and his dad being Kenyan means he's not "natural born"
3) Even he was "natural born" he gave up his citizenship when his mom moved to Indonesia (the argument here is that the schools he went to required Indonesian citizenship, his step-father was Indonesian and had him naturalized there)
4) Even if he was natural born, and didn't become an Indonesian citizen his actions as a young man indicate an intent to not represent himself as an American citizen (trip to Pakistan, etc), natural born or otherwise, and therefore he had to have given up such a claim even for later in life.
Item 1 is not ever going to be accepted by our courts - his birth certificate as released will ensure that. Item 2 won't be accepted either. The courts would just say that since he was born in HI and the general legal opinion is that constitutes "natural born" he's therefore eligible. Item 3 would be argued away by saying his parents just bribed the right officials, so he never gave up his citizenship to naturalize in Indonesia. And even if "proof" was dredged up they'd find way to wave their hands and make it go away or be ruled bogus. Item 4 is even easier for any half-decent lawyer to argue past.
All of this is to say that even if all the conspiracy theories got their day for a legitimate hearing in court Obama will never be ruled ineligible. So all the arguments are moot.
What cracks me up though is all the birthers now claiming that Rubio and Jindal are not eligible either because they were "native born" but not "natural born" citizens. And yet not a single one ever points to anywhere in American law that a distinction is made between the two terms. They claim "native born" means born on US soil to non-citizen parents. "Natural born" is defined by them as born in US jurisdiction to 2 citizen parents. But again, they can't seem to cite where such terms are defined either in statue or SCOTUS precedent.