I would hope that Trump would have more sense than that.
Trump is now a birther. This contradicts your premise.
Is a birther someone who doesn't believe Obama was born in the US? Trump has said Obama can stop the silliness by just showing his birth certificate. I don't necessarily disagree with that. I do think Obama was born in the US, though.
This whole birther thing is ridiculous. It needs to go away and I'm disappointed and frankly surprised that Trump would even be talking about it at this point.