We are different than Italy purely in population density. Keeping Distance limits the effective range of transmission we also have a larger population but it is more spread out. In saying that places like NYC or other very large dense population areas, would be closer to Italy then a majority of the US. Not saying it couldnt happen here that way Im just pointing out there are some key things that makes the US a bit easier to slow the spread.
As for this whole closing of Disney World, I dont think it will happen unless the government steps in and somehow finds a way to protect the lively hood of the Disney Cast members and the Florida Economy. Florida relys heavily on tourism way more than any other state for its income. If they closed WDW for any substantial time, Floridas economy would instantly drop way below whatever happens to the US economy as a whole. It would be a disaster economically for that state and its businesses. As to not cause that type of Panic i am sure there is governmental conversations with Disney on contingency plans and messaging and all of that. If WDW closes it wont be as a precaution but because of a necessity. As for the law suits and what not, Disney has a very robust legal department and lots of insurance, that isnt as much of a fear as you might think.