Orlando, just about more than any other city/area in the country, is reliant on one industry, tourism. Close it, and the economic effects will be short term devastating. I'd guess the state/local government will hold out as long as they can concerning issuing closing orders. A shut down of two weeks wouldn't be catastrophic, but a couple of months would be.
Probably good to remember, as well, that for most intents and purposes, WDW is its own local government.