I don’t know anything about Japanese Kabuki theatre, but I like the idea of the cultural crossover. Also of note is that a single actor will play both Cesario/Viola and Sebastian, her twin brother. In Kabuki theatre all the parts are played by men, just like Elizabethan times.
From the article:
In Kabuki, there are many, many forms -- you could call it a toolbox -- and it was a matter of choosing the right ones and putting them together. Because they know the forms so well -- some of which I didn't understand -- they normally rehearse and put on a play in three days.