Your question appears to be malformed. You should instead be asking, "Why doesn't music made by atheists move me." Perhaps you should be asking, "Does music made by atheists move me?". Unless you've checked the beliefs of the singers and songwriters of every tune you've ever enjoyed it's likely that you've been tapping your foot to a non-believer or two. Or perhaps you only like music with a religious theme, in which case the correct question might be "Why are my tastes so limited?"
Regardless, music is a matter of personal taste. Your inability to enjoy music made by atheists serves only to underscore your personal limitations.
Regardless, music is a matter of personal taste. Your inability to enjoy music made by atheists serves only to underscore your personal limitations.