I don't know anything about Battlestar Galactica, except that it's a series I was never interested in as it just looks like a never ending war similar to Star Wars, which I was also mildly interested in for the same reason.

But after having a quick look at the wikipedia article - https://en.wikipedia.org/wiki/Battlestar_Galactica

You are probably right, it should be Mormonism ... I never knew that series was partially influenced by an actual real world religion.