Occupy Broadway kicks off a 24-hour marathon of live performances at Duffy Square, featuring a dizzying lineup: carnival stilt walkers, The Yes Men, Reverend Billy, and Adam Rapp, plus everything from puppetry and jazzercise to dawn tango and “Corporate Scary Ghost Stories.” The People Staged take over the wee hours (because protest waits for no coffee break), and it all culminates in a grand finale sing-along of the First Amendment. Tourists might not realize this isn’t Chicago—at least, not until 3 a.m.