One great virtue of this dual explanation is that it removes the need for
what William James, in his remarkable “The Varieties of Religious
Experience”, called the “objective correlative”. By identifying the Gods with
shared features of our psychological and inter-subjective experience, but
being willing to dance with them on their own terms in the ritual circle, we
can explain religious experience in respectful and non-reductive ways without
making any anti-rational commitments about history or cosmology. Scientific
method cannot ultimately be reconciled with religious faith, but it can get
along with experiential mysticism just fine.
Another example: I don’t know if Eric Raymond would self-describe as atheist, but he is a neopagan with, as far as I can tell, a naturalistic worldview.
Edit—a key quote: