Since others on this thread have pointed out that this is a fight that team Obama cannot afford to lose and since the article points out that the any birth certificate offered at this point would probably be fraudulent, you have overlooked their best strategy.
If forced to produce a document, then why should they feel constrained about who would be listed as the birth father? All they have to do is print in the name of a convenient American citizen and they solve two problems at once!
Naturally, there would then be no question about the father being a British subject AND it would provide a ready explanation of why team Obama had gone to such great lengths to guard this “original” document. The MSM would drum up the sympathy to no end for poor Obama who was forced by those heartless conservatives to reveal his tragic family past.
They could; but they won’t. It would doom Obama.