You COULD try to see both.
Do you want to see a play, or do you want to see a musical? A One-(Wo)Man show, or a full cast? Flying, a 100th Anniversary production, and a Cathy Rigby Farewell - or no flying.
HOWEVER, the tour is most likely heading to Broadway. So if you frequent NYC a lot, then perhaps it'd be best for you to see I AM MY OWN WIFE and catch PETER PAN on Broadway.
"The Spectacle has, indeed, an emotional attraction of its own, but, of all the parts, it is the least artistic, and connected least with the art of poetry. For the power of Tragedy, we may be sure, is felt even apart from representation and actors. Besides, the production of spectacular effects depends more on the art of the stage machinist than on that of the poet."
--Aristotle