I think the only reason that it hasn't happened at Disney yet is because I believe Cirque has a non-compete clause. I've longed believed that if Disney built a brand new theater, they'd make a bunch of money off of Disney Musicals playing there. They could do shows that are no longer on broadway, but would do great at Disney (Frozen comes to mind immediately).
They could also alternate shows roughly every few years or so to keep it fresh. Basically it would be like the residencies that pop stars do in Vegas. For a year or 2 you could run Frozen, then switch to Mary Poppins, Newsies, Aida, The Lion King, etc, etc. Seems like a no brainer for Disney Springs.