gunnergoz
Cat Herder
What I could see is a modified Religious district where instead of Faith you get Gold or Hammers back. Or unit promotions. Or something else.
But honestly you know what I think it should be? The ability to place missile silos in the territory of City States or (borrowing from the CBP) the ability to annex territory owned by someone else. That screams Russia to me. As it is, we're going to have Devout Russia versus Atheistic United States in late game cold wars and it's going to be plain weird. Instead of fearing Russian spies the world will fear infiltrations of its priests. Sounds like a slapstick comedy movie.
If that's the game you want, that's the game you'll play. Right now IRL I see Russia happily rejecting Western culture in large part due to resurgent religious nationalism encouraged by a dictatorial regime that uses spy craft as well as military force to get what it wants, be it territory or just plain influence. As for the "atheistic United States" part of the game, well the US is supposed to be a secular democracy, right? Separation of church and state? Or did I miss the memo about the new national religion? So for the most part, Civ VI looks to me to be able to emulate historical events and trends to a fair degree.