To Walt Disney World (Magic Kingdom specifically): 1009 miles.
To Disneyland: 1770 miles.
Funny story: For a number of years this town not far from me - Steelville, Missouri - was considered the "population center" of the US. Not sure how they came up with that designation, but the town ran with it, and had signs up as you enter town. Now those signs are gone - as the population has shifted west, the "population center" has shifted east a few miles.