A couple of questions to ask when considering anything for stage adaptation (whether book, play, film, tv show):
What do these characters have to sing about?
How can we tell this story better? In the case of adapting a TV show, what you have is not a story, but some familiar characters. The task would be making a show interesting enough to build around these characters.
"If my life weren't funny, it would just be true. And that would be unacceptable."
--Carrie Fisher