The cabaret will play Broadway night spot 54 Below.
The organization has announced its four-play schedule.
The production stars Nick Cearley, Nic Cory, Alex Ringler, and more.
Najla Said will direct the next incarnation of Phillip's autobiographical 75-minute rock opera.
Josh Kaufman is gearing up to make his Broadway debut.
Inner Voices is a biannual series of solo works featuring news teams of playwrights and composers.
Associate Artistic Director Adam Immerwahr will helm the production.
Taylor received a 2013 Tony Award nomination for playing the role of politician Ann Richards.
The New York premiere of Andrew Lippa's oratorio will play Lincoln Center on October 6.
Producers have big plans for the show after pulling it from Second Stage Theatre's new season.