In the US, celebrating May Day went out of style during the Cold War, and it has never rebounded. Too much association with the Communist Party. (They used to always broadcast photos of the USSR celebration on the news, to remind us of how evil the Communists were.)
Children in school sometimes do celebrate it in the traditional sense, with May baskets and all, especially at traditional girls' schools. However, events for adults are pretty much nonexistant.
To my knowledge, Disney doesn't do anything special in the way of May Day events; it is just another day like any other.