At 42, Jordan Roth has become Broadway’s singular showman, pushing the boundaries of what it means — and, yes, what it looks like — to be a theater tycoon. In a famously flop-prone industry, he is wrapping up his best season ever — successfully luring not only Bruce Springsteen but also Disney (“Frozen”) and Tina Fey (“Mean Girls”) to his theaters, joining the long-running hits “The Book of Mormon” and “Kinky Boots.” He has three Tony Awards as a producer, and this weekend he is vying for a fourth, for a starry revival of “Angels in America.” As his confidence has grown, so has his appetite for provocative self-expression.