I must agree with previous answers. There is no "atheist god". An atheist is one who has no belief in any supernatural deity whatsoever.

If you meant to ask about the AGNOSTIC god, then the answer is partially yes and partially no. An agnostic is one who believes that there is a god, but they have no specific belief as to what god it is, (ie the Christian God, the Muslim god, the Native American gods, etc) In the end, an agnostic does in part believe in the Christian God because they have not ruled that God out, but the in the end the Cristian God is not the agnostic god because it is a specific reference.

An apple is a fruit, but a fruit is not necessarily an apple.