I think this is islam.
The demographics already point to it. Europe is largely secular and conversion rates to islam are growing. Most people there that claim to be Christian do so because they were baptized as infants and it's what their family has always been.
I don't see any historic Christian churches falling under muslim control, but fading away in relevance to their members. The worship of the Antichrist will only happen half way through the tribulation.
I don’t think it will be a perfect or polished absolutely comprehensively successful effort on the AC’s part. But he will do his best to make it so and it will be plenty comprehensive in terms of those alive ‘on the surface’ at the time.
Certainly there will be graduated steps to the eventual horrors.