The one thing I would hate the most is if the Witlesses ever got a flash of new light (maybe a new Christmas bulb blinked on) and it was acceptable for them to run for president. During that window, one decided to run--and won. This person is otherwise "exemplary", and did all he could to promote the Watchtower Society. Now, he is going to be able to do even more to outlaw Christmas, higher education, the Internet, and make it a felony to have consensual sex outside marriage. Anyone with ideas that could clash with the Watchtower Society, whether from direct observations or from science, would be in a lot of trouble.
Were this to happen, we would suddenly be the worst tyranny on the planet. It would make old East Germany and the Soviet Union look like free countries in comparison. And, if the US ever decided (another Christmas bulb) to force its viewpoint on the world, we could be in for a war that would make the Iran situation look like a firecracker going off. Following which, we would be in the Second Dark Ages from which no one would ever emerge. Remember, they would use existing technology to enforce it all.
I think I would rather find myself in the Oval Office, complete with little or no qualifications, than have a Witless in there. At least I could learn as I go, put a stop to burdensome regulations, and then fix the constitution so that they could never again grow back. That would be a lot of work. Ultimately, I would like to see a total atheist or antitheist with excellent background knowledge of what needs to be done, along with the nerve to actually pull it off, in there for as long as necessary to get our freedom back on solid footing.
A Mormon--I don't think so. Not if they are going to pass laws that are going to bias the country to Mormonism. I would rather have a president that both has the background knowledge and is free of the mysticism brought on by religion, especially a cult. Only then can our country truly be fixed.