Veterans Second Amendment Protection Act - Prohibits, in any case arising out of the administration of laws and benefits by the Secretary of Veterans Affairs (VA), considering any person who is mentally incapacitated, deemed mentally incompetent, or experiencing an extended loss of consciousness from being considered adjudicated as a mental defective for purposes of the right to receive or transport firearms without the order or finding of a judicial authority of competent jurisdiction that such person is a danger to himself or herself or others.