The USSR were the adults in that conflict.
So, yeah - the rest of us consider it entirely likely that Democracy will nuke us.
I have seen insanity on both sides but from reading both US and USSR propaganda, the latter was even less rooted in fact than the American one.
2. the USSR backed-down and withdrew from Cuba
3. the USA kept their nuclear weapons in Turkey [2].
https://lacrossetribune.com/news/false-alarm-how-a-bear-near... [1]
https://turkeywonk.wordpress.com/2012/11/04/turkeys-nuclear-... [2]
The first link is about a near miss. There were a dozen of these on both sides during the Cold war.
The second link is about the equivalence USSR saw between missiles in Turkey and missiles in Cuba. This is not about being adults in the room. This is about Russia failing to being stealthy enough in Cuba. Seriously. They would have done it if they could have gotten away with.
And US would have simply bombed Cuba with conventional weapons. Something neither country wanted.
Would they have taken the nukes off the bombers if Swaziland had objected?