It would show that the man in the Whitehouse is a liar. It would also show that the American people elected a myth. But most important it would show the American people how culpable the news media was in spreading that myth.
Barack Obama Senior acknowledged paternity via allowing his name to be on the birth certificate; through Senior’s student visa filings with the INS; in the Honolulu newspaper birth notices; via acknowledging paternity in the Dunham-Obama divorce decree; in having the child visit with Senior’s family in Kenya; and he is the only father seen in photographs hugging the son when the son was a child.
Both Barack Obama II and the media have plausible deniability based on years worth of self-acknowledged evidence of paternity by B.O. Senior.