The reputation of Kurt Vonnegut nowadays rest on his comic novels—a mainstay of 1960s counterculture. He combined flights of hilarious whimsy with science fiction and sharp satire in works such as Cat’s Cradle (1963), God Bless You, Mr. Rosewater (1965) and Slaughterhouse-Five (1969). But at the height of his powers, Vonnegut also wrote a Broadway play, Happy Birthday, Wanda June. The play may not be a masterpiece, but the production by the Wheelhouse Theater Company under director Jeff Wise breathes screwball life into it with strong performances and unabashed theatricality.