A "perfect" chess game (perfect by both players, or else it's not really perfect) would have to be a draw, and I don't see how you could argue otherwise. White having an extra move wouldn't matter; that extra move isn't enough to force a win, even with perfect play
Can't happen....you can't have a perfect offense and defense too. There has to be a flaw in one side in order for the other side to accomplish anything. It wouldn't draw, it would stalemate.
Neither side could win because while one side would always have the *perfect* attacks, the other side would have the *perfect* defenses to counter all of the *perfect* attacks, thus making those *perfect* attack, imperfect.