I don't think this is accurate. I can't point to a source right now, but I have read a lot about the revolution in the last decade and my impression was that so

I don't think this is accurate. I can't point to a source right now, but I have read a lot about the revolution in the last decade and my impression was that some of the revolutionaries were Marxists, but there was no official ideology and Cuba became Marxist perhaps a year after the revolution. This involved a power struggle and some revolutionaries emigrated or went to prison. Castro eventually sided with the communists (Che, Raúl).