Well, we wouldn't have that scene in "Back to the Future" when Doc Brown is shocked to hear that a 6'5'' Mormon is President in 1985. There's a story that when the movie was screened at the White House, President Udall laughed so hard at that line he nearly fell out of his chair. It was cool to have a President with such a great sense of humor. He even hosted SNL back in 1987, despite all the jokes the writers had made at his expense for seven years.
President Udall was one of the best we had. Granted the Mormon joke was a little tasteless given how Udall left the faith and the past associations of it got him accused of racism due to Mormonism's touchy relations with race.
Interestingly enough, we could contrast it with the more excess-driven culture of Great Britain and Margaret Thatcher took power and in alot of ways, I feel Reagan's rule would've been similar to Thatcher's, especially with the people they had around him. Thacher's dealings with Iran were... a crapshoot while Carter managed to do diplomatic miracles with Iran, which basically would doom the popularity of the theocratic organizations and led to a secular Iran in 1985.