If Davis were the father, then Obama would be natural born and eligible to be POTUS. Of course, there’d be allegations of fraud and forgery & all that, but he would be president.
Then Bambi would simply state he was the victim of this, not the perpetrator.
Not necessarily, see post 485. Most states the father is legally the father even if not biologically, if parents are validly married (which is another question too here). Simply being the biological father, in other words, is not enough, you have no rights if another man is married to the mother of your child. That was common law and standard law for years, and may have been in Hawaii at the time, and still is in many states.