Do you really think that G. K. Chesterton, Hillaire Belloc, and C. S. Lewis would spend significant portions of their lives supporting communism?
Or have you never heard of Chesterton, Belloc, or Lewis?
OK, let's slice your nuances thin and be more specific.
They advocate an amorphous religious state in which the state benevolently allocates justice and resources based upon the needs of the people, and grounded in Biblical principle.
Statist, Fascist or Communist...they're all the same to me and my mortal enemy.