In the case of a DVC owner that is real estate that is owned by the party who has been tresspassed. Disney cannot tresspass a person from their own property so the restriction would exclude the DVC resort(s) where that person owns property.
Disney will cooperate in the prosecution of criminal events. Simply having a gun is not a crime as long as you have the proper carry permits and registration. All firearms are to be declared prior to entering the parks and placed in Orange County Sherriff's on site gun safe. Threatening people with said firearm will get the prompt attention of security and OC sherriff.
Unfortunately Disney is unable to ban child molesters on principle; even registered offenders until they do something that gets the attention of security. If they do anything inappropriate, they can be tresspassed.
Disney takes the comfort and safety of all their guests seriously and will not tolerate guests who infringe on either. They will make every attempt to work with individuals who are escalating to a dangerous or uncomfortable situation until the line is crossed that the situation cannot be calmly and quitely contained. Being disorderly (and not just those who are intoxicated,) causing an altercation, even excessively unruly children can be ejected from the park or other programs. This may not always result in being given a tresspass warning but the incident is documented.
Disney has a database complete with pictures of tresspassed persons. Security is given a notice about the incident and all security personel are supposed to review the database on a regular basis. It is difficult to remember every single person's face so it would be possible that these people could get on property as long as they aren't recognized.
(information courtesy of my DH who is part of the team keeping the magic secure for all guests.
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