How could the Unification Church of Sun Myung Moon be more successful?
As a wild guess: Anton Krotov's constructions on how Christ must have been reborn in 1945 Kyzyl (and not 1928 Korea) catch on, drawing attention to Sun Myung Moon himself.
Then the 1945-born Kyzyl guy is found and happens to be a Moonie already.
(Those constructions actually would lead to a funny TL even without the original Unification Church growing. BTW, anyone knows of any famous people born in Kyzyl in 1945? I don't, unfortunately.)
P.S. I do not in any way approve of the Unification Church and/or of its leader Sun Myung Moon. Out of major wacky churches, I am currently closest to the Pastafarian Church of the Flying Spaghetti Monster, though Sai-Babism would be a good alternative if it wasn't too non-wacky, and I might well switch to Sheepism and/or Thandism if I ever get what it was.

(BTW, I'm also a Goldshevik, or at least I think so.)