If Disney owned the Minskoff wouldn't they change the name to just about anything that would be better than the Minskoff which is named after the real estate family that built 1515 Broadway?
The Cole Porter Theatre, the Frank Loesser Theatre, the Lorenz Hart Theatre, ad ad infinitum.
Even the Uris family let the theatre they named for themselves in the building they built, be changed to the Gershwin.
"If my life weren't funny, it would just be true. And that would be unacceptable."
--Carrie Fisher