Religion And Imagination.
Robert Hugh Benson (Catholic)
the authors of the Left Behind series (Evangelical)
CS Lewis (Anglican)
(I think that SM Stirling belongs on this list with Blish and Anderson but will, of course, revise the list if I am advised to the contrary.)
I am out of sympathy with Benson and the "Left Behind" guys and do not want to discuss them further here. I gather from his Wiki article that Benson, like Lewis, consciously wrote anti-Wellsian sf.
Lewis knew how to write mythologically:
"'In those days Maleldil will go to war - in us, and in many who once were hnau on your world, and in many from far off and in many eldila, and, last of all, in Himself unveiled, He will go down to Thulcandra.'"
-CS Lewis, Perelandra IN Lewis, The Cosmic Trilogy (London, 1990), pp. 145-348 AT p. 338.
In The Game Of Empire, Anderson gives fair treatment to Fr Axor as he does to all his characters even when we know for certain that he disagrees with them. In his time travel works, he could have presented an account of the origin of Christianity but avoids this issue.
SM Stirling's Emberverse series has a Church Universal and Triumphant but I have not read that far yet.