The new “West Side Story” is set in the present day. Zuri Noelle Ford, who plays a Jet, Anybodys, explained that some gang members now carry iPhones. One dancer in each gang captures onstage action with a Steadicam; the footage is displayed on a screen behind the performers. The Jets, Ford said, are no longer all white: “It’s a group of white and black and mixed people. It’s 2020, you know?” The Jets’ movements incorporate house and hip-hop—“things that were created in this country,” Ricky Ubeda, who plays Indio, said. The Sharks, like most of the actors playing them, are of Latino descent; their dances have Afro-Caribbean inflections.