Based on financials of Disney, you are not looking at a company that has any risk of bankruptcy (it does have a piece of junk called ABC that either has to get better quick or be sold). Moreover, its auditor was not Andersen (I know of people who, after Enron, actually just started selling short any company audited by Andersen and they have made money doing so.) However, if that unlikely event would ever occur it could have an impact:
1. The Disney subidiaries that control
DVC are Disney Development Co. (DVD; your actual seller of the timeshare) and its related entities Disney Vacation Club Management Company (DVCMC; which manages and administers the resorts) and Buena Vista Trading Co. (which controls all trades and most of the DVC reservation system along with DVCMC). If Disney were to go bankrupt overall, it would take those entites with it.
2. Those documents you receive at time of purchase from DVD which contain all the legalese for the transaction (and to read them is like stirring concrete with your eyes) do provide that the bankruptcy of the Disney entities would be a grounds for cessation of the agreement that establishes the DVC reservation component and the ability to make reservations at a resort other than your home resort; i.e., you would no longer be able to make DVC ressies at the various resorts -- you could still make them at your own home resort only but the members would need to set up a new system to go about doing it. Also, and more of an impact, is that bankruptcy of the Disney entities is stated as one of the grounds under which the lease of the property on which the resorts sits -- which is a lease until January 31, 2042 from the Disney parent company to the Disney subsidiary DVD -- can be terminated and termination of that lease essentially means you are SOL and locked out of the property. Nevertheless, the kind of bankruptcy contemplated by the documents is not just a reorganization that leaves the Disney entities in place after it is over but one that is a true bankruptcy or dissolution which would result in any Disney property, such as the parks, being sold to pay debt.