There is a real-life parallel to the Woltz episode, but it's far less dramatic:
Sinatra's career had been declining in the Fifties. In 1954, he desperately wanted the part of Maggio in "From Here to Eternity" as a way to get his career back on track. The real-life studio head who initially opposed Sinatra for "From Here to Eternity" was Harry Cohn. But Cohn was never muscled by the Mafia, nor was he opposed to Sinatra because Frankie stole his gal. He wanted Eli Wallach because Wallach was under contract, but eventually chose Sinatra because he was skinnier than Wallach, and thus fit Maggio's description.