From Wikipedia:I'm only questioning why I'm subsidizing it. If Disney is paying the counties for their services, there's no issue.
Law enforcement – from Orange County, Osceola County and the Florida Highway Patrol are contracted to police the district. In addition, the Walt Disney Company employs about 800 security staff in their Disney Safety and Security division. While Disney security maintains a fleet of private security Chevrolet Equinoxes equipped with flashing lights, flares, traffic cones, and chalk commonly used by police officers, arrests and citations are issued by the Florida Highway Patrol along with the Orange County and Osceola County sheriffs deputies.
In addition, a quick google search for Disney and Orange county taxes showed that Disney paid $87 Million in property taxes to Orange County in 2011.