This is the nosecone of an Avro Arrow, a Canadian designed and built interceptor fighter. The program for building these was, unfortunately and short-sightedly, terminated by the Diefenbaker government in 1959.
While Canada remained embroiled in the Cold War as part of NATO, our government also pursued peacekeeping as a military initiative. Lester Pearson, one of our greatest prime ministers, would first propose the idea of using soldiers in that capacity, and the Canadian military has been involved in multiple peacekeeping missions in far reaches of the world.
The roles of spies and counterintelligence in the Cold War period are explored extensively in this area with panels, artifacts, and interactive displays.