I don't think I would use that parallel. I don't think the Mormons want to endure the kind of scrutiny that would come from a Presidential campaign.
If Mitt Romney wants to run for president, then I do not believe the Mormon Church will stand in his way.
Quite frankly I find it distressing that 43% of Americans would hold Mitt Romney's religion against him and categorically refuse to vote for a Mormon. I voted for Jimmy Carter because I thought he was a good dedicated Christian. He may have been, but he was also an incompetent idiot and the worst president that we have ever had. Brigham Young would have been a better president than Jimmy Carter.
Mormons vote for Evangelical and Orthodox and Catholic Christian leaders all the time because they agree with their politics and their morality. I find it sad that many Christians refuse to return the favor.