By HEIDI MCELRATH, Shakespearean and Dramaturg Shakespeare’s The Taming of the Shrew is all about role-playing, so it’s a perfect fit as a play-within-a-play. Bianca and Kate play the roles of perfect little sister and elder snake-tongued shrew. Lucentio plays the role of a tutor so he can woo Bianca while keeping Baptista Minola at