Or Barry Sotero. Reading the naturalization law, I always thought the BC was a red herring. The real question was, since his citizenship is clearly established by having an American mother, what is he hiding? I agree with you: it’s the fact that his name is not Barack 0bama. I don’t know what else might cause him “embarassment” that might be on as neutral a document as a birth certificate.
Could be that the birth certificate shows that his parents were never actually married. Don't know why that would embarrass him particularly (there are no illegitimate children, just illegitimate parents) but he may have feared it would cost him some votes.