Traveling from the relative calm of the Clinton era to more perilous, contemporary times of mobs, mendacity and political mayhem, the much-admired but short-lived musical “Parade” has now found its moment in a brilliant Broadway revival. A decade after its Broadway bow in 1998 under the direction of Harold Prince, when the show received awards but not a lengthy run, a significant re-do directed by Rob Ashford at London’s Donmar Warehouse in 2007 gave the challenging show and its dark subject matter a stronger structure and new life. Last fall’s acclaimed gala presentation at New York City Center built on...