To tell the truth, I think Romney is much more drawn to it for the Scouting and the focus on family life and community. I don't perceive him as being very theological. For one thing, that would be highly unusual in any corporate CEO type. That just doesn't fit their mold and the culture of corporate America. Corporate America genuinely dislikes profound religious convictions.
Then perhaps he has you fooled. Romney has been a Bishop, Stake President, and is currently a High Priest in the order of Melchezedek. He is a very high ecclesiastical leader in the LDS Church. His office of Stake President is higher than that of Priest in a Catholic Church or Pastor in a Protestant Church. He was over many different Church Wards. Don't be fooled by his "almost" blush. He is very well steeped in Mormon doctrine, and abides by it's tenets to the "T."
Frankly, Color I'm shocked that you think this. It's only been 20 years since you were in the Church, but surely you know that positions of leadership in the church are null and void when that person leaves the office of that calling. The lay ministry of the LDS leader is bestowed on someone through the keys of the priesthood. When that person leaves that office, the key, rights, and authority is given to someone else. Our former Stake President is now serving as a Scout Master. He has no more say in Stake matters than I do.