The CPUSA, in its FAQ section, has this to say about Communism and religion:
"Communists are not against religion. We are against capitalism. In fact, the Party has its own Religion Commission which seeks to build positive relations with religious people and communities in the struggle to make life better for working people. Most religious people believe in justice, peace, and respectful relations among the peoples of the world, and many are motivated by their faith to work for those goals.
Membership in the Communist Party is open to all who agree with our program, regardless of religious beliefs."
Sadly, this is indicative of the depths to which the CPUSA has sunk. Rather than following the fundamental principles of Marxism-Leninism, they have adopted a liberal Democrat stance in nearly every issue.
This issue, however, is clearly spelled out in Marxist-Leninist thought: Religion is superstition, and it has done more harm than good. Marxism-Leninism teaches Historical and Dialectical Materialism - viewpoints which are diametrically opposed to religious thought.
Religion (all of them) teaches that some "being" or "beings" created everything that we see, think, and feel - therefore man is subservient. This is a form of idealism that is directly and forcefully refuted by Marxism-Leninism.
The CPUSA, in an attempt to attract members, have ignored this basic notion of Marxist-Leninist thought. The CPUSA and its leader, Sam Webb, have turned a once proud political organisation into a branch of the Democratic Party - even going so far as to endorse capitalist candidates for the American presidency. Notice in the quote above from the CPUSA FAQ: "We are against capitalism." How can you be against capitalism, when you endorse one of their candidates, and encourage your members to vote for them?
The CPUSA has failed to adhere to the fundamental principles of Marxism-Leninism, it's betrayed the Communist movement, and have duped its followers into doing the same.