This issue is not going away. If Cruz gets the nomination, this issue will be with us in the general election.
If this is an issue in the general election, it will be a positive thing for Cruz.
If we had hard evidence that Obama was born in Kenya and that his parents were Marxist Romulans born in another solar system, the middle American public would vote double for Obama just to give the finger to all of us debating (properly) this Constitutional point.