By far the most financially profitable West Indian colonies in 1800 belonged to Britain. The handful of British individuals who became planters made small fortunes. This advantage was reinforced when France lost its most important colony, Saint Dominigue (now Haiti), to a slave revolt in 1791.
The correct answer to this open question is the following.
Unfortunately, you did not mention what crisis you are referring to.
Without that information, we do not know what you are talking about.
However, trying to help, we can assume you are talking about the Cold War crisis because it was the Soviet Union that coined that phrase after the Cold War years.
So if that is teh case, what would happen to the idea of peaceful co-existence as a result of this crisis was that the two world superpowers of that time -the Soviet Union and the United States- had to learn to live in relative coexistence and "peace," after so many years of competing in the arms race, the space race, and the spread-containment of Communism around the world.
These countries had to learn how to coexists, more for necessity, rather than conviction.
It was the "League of Nations" that was the international governmental organization that the United States declined to join after World War I, since most Americans thought this would entangle them in more European wars.
It was important because it made you learn about how things change in History.
