In addition to his academic work, Quigley served as a consultant to the U.S. Department of Defense, the United States Navy, the Smithsonian Institution, and the House Select Committee on Astronautics and Space Exploration in the 1950s.
Vid sidan av sin akademiska karriär arbetade Quigley som konsult åt det amerikanska försvarsdepartementet, USA:s flotta, Smithsonian Institution och House Select Committee on Astronautics and Space Exploration.