What about World War 3?
The Cold War was not World War 3.
World War 1 and 2 cost the lives of tens of millions, each, and the theaters covered large portions of two continents (Africa and Eurasia). They are not very comparable to the Cold War, which, while long-lasting, did not take nearly as many lives due to war, nor devastated cities and countries close to the extent that the two World Wars did.
The war against islamofascism could become World War 3, but if it already is, then it is at the Japan just starting to invade Manchuria stage.
The two questions were rhetorical.
But one of the features of the Cold War was what was called “the proxy wars”. Also there was the buildup of the nukes between the USA and what was the old Soviet Union.