LOS ANGELES, Feb. 25 — Mel Gibson's provocative new film, "The Passion of the Christ," is making some of Hollywood's most prominent executives uncomfortable in ways that may damage Mr. Gibson's career. Hollywood is a close-knit world, and friendships and social contact are critical in the making of deals and the casting of movies. Many of Hollywood's most prominent figures are also Jewish. So with a furor arising around the film, along with Mr. Gibson's reluctance to distance himself from his father, who calls the Holocaust mostly fiction, it is no surprise that Hollywood — Jewish and non-Jewish — has...