It was a gimmick to get people in the theaters, and away from their fancy new televisions. I've never seen any reason why Kiss Me Kate was chosen, but George Sidney certainly did a great job with it. And the wardrobe department held nothing back where it came to Kathryn Grayson and the mens' costumes, hmm?
It's said that Kathryn couldn't watch it all the way through, back when it was released, in 3-D. The glasses made her nauseous.
It's like writing "Norma Shearer for the win!" in a Joan Crawford biography.