Let's Re-Up the Troops-to-Cops Program Act - Amends the Omnibus Crime Control and Safe Streets Act of 1968 to allow public safety and community policing grants to be used, during the three-year period beginning on the date of this Act's enactment, to hire former honorably-discharged members of the Armed Forces to serve as career law enforcement officers for community-oriented policing, particularly in communities that are adversely affected by a recent military base closing.