Dragon is correct, but I'd like to add a couple of points to him:
After the Cuban Missile Crisis, a hotline was added that connected the White House DIRECTLY to Moscow to avert future disaster. Other movies, like the Atomic Cafe, were later released to show just how close the world came to the brink of destruction.
The comic reflects the view EVERYONE shared at the time: Both leaders need to come together, otherwise we will destroy the world 100 times over. The doomsday clock and things like that were created partially in protest, and partially as a warning, that nuclear war would be the end of the world as we know it.
The times were full of fear, but the people all shared the same hope: no nuclear war.