The comedy by Moss Hart and George S. Kaufman stars James Earl Jones and Rose Byrne.
Ellis is set to helm You Can't Take It With You, The Elephant Man, and On the Twentieth Century — all opening on Broadway in the next eight months.
Alfonso will star alongside James Earl Jones, Rose Byrne, and Annaleigh Ashford.
Go inside the feline audition process for the upcoming Broadway revival of the Kaufman and Hart classic.
The revival begins in August at Broadway's Longacre Theatre.
Previously announced cast members also include Annaleigh Ashford, Rose Byrne, Kristine Nielsen, and more.