Cher took John Lennon on a raunchy date to the Playboy Mansion \- before he stripped stark naked in front of her. RadarOnline.com can reveal the veteran singer, 78, fulfilled the Beatle’s “dying wish” of taking him to Hugh Hefner’s mansion. She took him and singer pal Harry Nilsson to one of Hefner’s Sunday movie night, which were far less debauched than his notorious parties, but quickly discovered the pair were more intoxicated than she thought. Cher explains in her new memoir: “Giggling and falling over each other, John and Harry followed me out into the grounds. “Sitting them down inside t…