Carpenter will temporarily replace Will Swenson in the role.
Oscar winner Melissa Leo and Tony nominee Mary Beth Hurt are also among the cast.
Andrew Lippa's cult favorite met Charlie Rosen's Broadway Big Band.
McDonald stars in Lanie Robertson's drama at the Circle in the Square Theatre.
The new production begins previews March 1 at the Imperial Theatre.
Meet the lovely ladies, factory workers, drunks, and soldiers who will appear in the musical at the Imperial Theatre.
The cast also includes the previously announced Ramin Karimloo, Will Swenson, Caissie Levy, and Nikki M. James.
Jefferson Mays and Bryce Pinkham star in the new musical comedy.
Heavy-hitters like Phantom's Ramin Karimloo and Hair's Will Swenson lead the cast.