You do raise one good point in your #27.
That is, we certainly do not want to go forward with a patently defective argument.
Polarik has expertly addressed your technical concerns and we await your comments.
Your express concern about harming the “birther” movement also raises the question:
“Assuming, as you do, the COLB presented on FactCheck is authentic, what is your opinion as to how the “birther” movement should proceed?
What of my earlier question to you concerning the fact that Hawaii specifies a COLB is not conclusive proof of U.S. citizenship; thus, it has no determinative value.
How do propose that Obama resolve that issue without asking Hawaii to provide Congress with a verifiably authentic copy of his BC?
1. Keep raising court challenges re: BHO's authority to issue assorted orders. The soldier who did so got it exactly right, and while the issue was diverted, the diversion raised a lot more questions than it answered. The core problem is establishing "standing", which is solvable. One case alone won't do it, we need LOTS of such cases - enough to statistically overcome the judicial bias against such a case.
2. Establish viable legal concern that a COLB is not sufficient proof of US birth, necessitating revealing the long form original. The idea has been kicked around a LOT, but nobody has enunciated it in a legally viable form.
3. Go to Kenya and other relevant countries to elicit copies of any relevant documents. Most likely they have been erased, but so long as he's in power keep scouring the bureaucratic world for disqualifying evidence.
How do propose that Obama resolve that issue without asking Hawaii to provide Congress with a verifiably authentic copy of his BC?
He won't. Those who have power to act decisively & immediately on the issue have, somehow, been persuaded that either he's legit or to not go there. Until he is compelled to satisfy a court by showing the long-form BC, he won't show anybody anything. There is no reason for him to resolve the issue - he's POTUS, he can ignore those demands unless SCOTUS compels him to.
If he's legit, he can let the issue stew indefinitely, and hand over the proof when it suits him. One tactic in war is get your opponents to waste inordinate resources on petty goals. If he has a proper long-form BC, he can let his opposition burn political capital struggling to enforce demands, only to embarrass them in the end.
If he's disqualified, he has no incentive to comply. Even if SCOTUS demands it, he can play long stalling games, and pull the classic line "that is their ruling, now let them enforce it." Only Congress can legally remove him from power, which the current occupants are not inclined to do. Even a hard-right Congress may hesitate to depose a seated albeit disqualified POTUS, as doing so would cause enormous upheaval; many would rather just ride out what little time would be left and move on from there.
The only way he'll show it is if there is adjudicated proof he's disqualified - not circumstantial evidence as we have now, it must be PROOF to wit a Kenyan BC.
Keep looking. Get the legal ducks lined up and press the issue in many courts. Allegations of faked COLBs are interesting and motivating, but hardly constitute legal proof. Keep stirring up interest, keep pressing so that the suspicious responses mount and garner more interest. And realize that he, as the most powerful man in the world, has a lot more motivation & resources to stay in power than we do to get him out - it will not be an easy victory.