Micaela Diamond once thought she might make a good cantor. The 23-year-old actor loved singing with the congregation at the conservative synagogue she attended as a child in Margate, N.J., just outside Atlantic City. Much has changed since then, notably that you can now hear Diamond’s powerful soprano on Broadway stages. But she’s still, in a way, performing Jewish music: the songs of Jason Robert Brown’s “Parade,” the Broadway revival of which opens March 16. The musical, which first premiered in 1998 with a book by Alfred Uhry, is based on the life of Leo Frank, an Atlanta Jew who...