Yes, actually they did. Sticking your head in the sand doesn't change the facts.
As I've said before, even if you could somehow prove that Obama was definitely not born in Hawaii, that would not prove that he was born in a foreign country.
No, the fact that the bio that came from him says he was born in Kenya tends that have that effect and not your strawman argument. I've certainly never made that argument, so why are you bringing it up???
Assuming Obama stays healthy, the only way to get rid of him now is either impeachment/removal or the expiration of his term. Even if the Senate refuses to convict/remove him, an impeachment now would tie up all of Obama's resources for a long time.