The communists want that all people everywhere should be treated as equals and have the same rights. They ideally want a classless and stateless society.
Marx visualized that soon enough private ownership will be abolished and the means of production and subsistence become the property of society. Even Plato in The Republic suggests control of possessions.
Now does God concur with these outlandish ideas? God created in his munificence all variety of men. Some are born poor, some achieve poverty and some have poverty thrust on them. Some, of course are also born rich, some achieve riches and some have riches thrust on them.
God does not want men to be equals. Period.
God does not believe in Communism. The communists are only returning the favour.