Davidson has served as a lecturer at IUPUI and for many years taught a course in motorsports history. He has been a frequent guest speaker at various engagements including trade shows, civic and social events, banquets, and awards ceremonies. Davidson lives close to the Indianapolis Motor Speedway, and has an office inside the museum. In 2003, a house fire swept through his basement, destroying some items from his personal collection, including a photograph of himself with 1911 Indianapolis 500 winner Ray Harroun. On his radio program, though he is guarded of his age, Davidson mentioned that he shares a birthday with Indy 500 winners Jimmy Bryan and Takuma Sato, as well as driver Gene Hartley.