So I was thinking about this and I think it needs to be a France-Wank. Basically a world where the French not only defeat the Russians, they invade, occupy and puppetize Great Britain and Ireland. In this world, French culture is supreme, and instead of soccer or rugby, which are both British at the core, croquet becomes the past time of the world from the French power structure.
Its run by the Fédération internationale de croquet. Which is like FIFA and the ICC merged.