Pledge Protection Act of 2005 - Amends the Federal judicial code to deny jurisdiction to any Federal court, and appellate jurisdiction to the Supreme Court, to hear or decide any question pertaining to the interpretation of the Pledge of Allegiance or its validity under the Constitution. Makes this limitation inapplicable to: (1) any court established by Congress under its power to make needful rules and regulations respecting the territory of the United States; or (2) the Superior Court of the District of Columbia or the District of Columbia Court of Appeals.