On the contrary, Marxism has always known, and still believes, that their only viable global enemy is the Catholic Church.
This is not supported by the facts. The most liberal states in the USA are dominated by RC's. The states with the least restrictions on abortion are dominated by RC's. The RCC was instrumental in bringing the socialists to power in the USA, principally through their support of "social justice", and a majority of RC's supported the socialists in the last election.
It seems to be a common mistake at FR for conservative RC's to think that they are representative of their church, but that is just not true. In fact they are a minority within their church.