Border Protection Corps Act - Authorizes the governor of a state to establish and command a militia, to be known as the Border Protection Corps, for that state. Allows such a Corps to include only U.S. citizens with no criminal history and no history of mental illness. Requires such militia to be called into service to patrol and defend its international border to prevent individuals from entering the United States at any location other than an authorized port of entry. Requires militia members to work in cooperation with state and local law enforcement officials and the U.S. Border Patrol. Allows militia members to take individuals into custody, but requires individuals taken to be promptly delivered to a federal law enforcement authority.
Provides reimbursement through the Department of Homeland Security for a state's militia costs.