We did not watch the film in class, but the ending says a lot. The man (Matthew) is now an alien. The woman (Nancy) is the only person who successfully evaded the aliens.
So how does all of this relate to the Cold War? Consider the ways in which Truman's Policy of Containment, as well as the McCarthy Era attempted to identify an "other" as the enemy. Relate your understanding of the film to the historical context. In what ways do you see the American government identifying and rejecting an "other" in their policies? What was the threat posed to American society after the war? Do we still see such fears and threats posed to our society today?