The correct answer to this open question is the following.
However, trying to help you, we can say the following.
Usually, the United States has handled international conflict using the force of its military presence worldwide or at least threatening to use it. The exception was the period known as the Cold War, in which the US knew that it cannot directly confront the Soviet Union because the USSR was as militarily powerful as the United States.
During the Cold War Years, both countries competed in the arms race, the space race, and the spread/containment of Communism around the world.
Did it involve any international organizations?
Yes, sometimes, and accordingly with US interests, it has involved the United Nations, but mostly, NATO, the North Atlantic Treaty Organization, trying to get the military support of countries such as Great Britain, France, Canada, among others.