Tom McGowan and Mare Winningham will also be featured in the new play.
Manhattan Theatre Club's production of Fierstein's new play will begin previews April 1.
Newly announced cast members also include Malcolm Gets, Anthony Rapp, and Krysta Rodriguez.
Additional guests will include Sheldon Harnick, Chris Hayes, and Austin Pendleton.
Honorees will include Nina Tassler, Linda Lowy, and Michael J. Fox
The Tony-winning musical reached this milestone faster than any other big-budget musical in recent history.