Aarcflick

 I’ve never been enthusiastic about the term “religious film,” or at least the idea that it should only apply to PG-rated Sunday school melodramas, centered on calamity and redemption, aimed specifically at evangelicals. “Song Sung Blue,” in almost every way, is a religious film, though its religion is the sacred dream of Neil Diamond church devotion. It’s based on the true story of Mike and Claire Sardina (played by Hugh Jackman and Kate Hudson), who in the late ’80s and early ’90s formed a Neil Diamond tribute band, performing as Lightning & Thunder (he’s Lightning, she’s Thunder). At first, the film may seem more kitsch than religious parable. The two meet at a performance at the Wisconsin State Fair, where various amateurs take the stage to impersonate legends like Elvis, Buddy Holly, and Barbra Streisand. She’s dressed as Patsy Cline and gives a pretty good rendition of “Walkin’ After Midnight.” He was supposed to perform as Don Ho and sing the 1966 hit “Tiny Bubbles,” but...