Crewe is best known for his numerous hits for Frankie Valli and the Four Seasons.
Campbell will replace Jake Epstein in the role of Gerry Goffin.
The Broadway League had decided not to dim Broadway's marquees for the pioneering comedian.
The Broadway community will gather at Imagine: A Concert of Hope to benefit the Brian Werbel Memorial Fund.
Wicked's Christine Dwyer, The Last Ship's Eric Anderson, and more will star.
The trophy traveled to Manhattan as part of its press tour.
See the stars in action on stage.
Molloy will enter the Broadway production this July.