Fred Weller and Gia Crovatin also appear in Terry Kinney's production.
The Twilight actress stars in the comedy about Hollywood at the Lucille Lortel Theatre.
The actress will be replaced by stage and screen veteran Elizabeth Reaser.
Terry Kinney directs the production, which also stars Callie Thorne, Frederick Weller, and Gia Crovatin.
MCC Theater will present the world premiere of LaBute's latest comedy this fall.
The actors will discuss their careers and current projects.