 After attending New York University, Alexander began his professional career as the stage manager of a 1983 Broadway revival of "The Caine Mutiny Court Martial", in which he also played a small role.Alexander appeared on stage in "I'm Not Rappaport", "Six Degrees of Separation" and the Stephen Sondheim musical "Assassins", in which he portrayed Lee Harvey Oswald.His screen roles include "City of Hope", "Love and a .45", "Matewan", "Eight Men Out", "Crocodile Dundee II" and "Clueless".