He's renamed the Kennedy Centre already

[Wiz Imp]

2. Here is the list of Board Members.

I believe only the regular board members named by Trump voted.

Half are members of his administration or family members of people in the administration. Only 3 can be said to have even the loosest connection to the Arts.

Lee Greenwood - Singer
Mary Helen Bowers - former Ballerina
Patricia Duggan - supposedly a "Glass Artist"

I'm sure these 34 were the only ones who voted.

Members Appointed by the President of the United States
Brian D. Ballard
Maria Bartiromo
Pamela Bondi
Mary Helen Bowers
Hannah F. Buchan
Robert Castellani
Elaine Chao
Pamella Roland DeVos
Patricia Duggan
John Falconetti
Emilia May Fanjul
Jennifer Fischer
Lynette Friess
Sergio Gor
Pamela Gross
Lee Greenwood
Kate Adamson Haselwood
Laura Ingraham
Michele Kessler
Dana Kraft
Mindy Levine
Lynda Lomangino
Barbara Long
Allison Lutnick
Douglas Manchester
Catherine B. Reynolds
Denise Saul
Dan Scavino
Cheri Summerall
President Donald J. Trump
Usha Vance
Susie Wiles
Andrea Wynn
Paolo Zampolli

There are also 23 Ex Officio Members Designated by Act of Congress. These are split pretty evenly between Democrats and Republicans but includes 3 Cabinet members plus the Speaker of The House and Senate Majority Leader.

Ex Officio Members Designated by Act of Congress
Robert F. Kennedy, Jr., Secretary of Health & Human Services
Robert Newlen, Acting Librarian of Congress
Marco Rubio, Secretary of State
Billie Tsien, Chair, U.S. Commission of Fine Arts
Muriel Bowser, Mayor, District of Columbia
Lewis Ferebee, Chancellor, DC Public Schools
TBD, Director, National Park Service
Linda McMahon, Secretary of Education
Lonnie Bunch, Secretary, Smithsonian Institution
Representative Mike Johnson, Speaker of the House of Representatives
Representative Hakeem Jeffries, Democratic Leader of the House of Representatives
Representative Sam Graves
Representative Rick Larsen
Representative Julia Letlow
Representative Mike McCaul
Representative Joyce Beatty
Senator John Thune, Senate Majority Leader
Senator Chuck Schumer, Senate Democratic Leader
Senator Sheldon Whitehouse
Senator Shelley Moore Capito
Senator Mark Warner
Senator Chris Van Hollen
Senator Susan Collins

I found all info here: https://www.kennedy-center.org/about-us/leadership/trustees/