The US army (Air Force didn’t exist then) started the Nuclear Energy for the Propulsion of Aircraft program in May of 1946, Feynman was 28 at the time however he did work on the Manhattan Project and using nuclear propulsion for submarines, aircraft and surface vessels heck even trains were things that people at Los Alamos and other labs were actively working on since the late 30’s.
So it wasn’t that much of a crazy thing to work on, heck while looking back at it I’m sure Feynman was in jest but I’m not sure it was the case when he was in his mid 20’s.