Anyone who thinks the Cold War was never going to go hot because our rationality would save us does not understand the Cold War nor human nature. There were so many screw ups, so many situations where someone thought missiles or bombers were incoming or that they were under attack and were ready to launch, so many situations where things got entangled and tense to the point where anything could have set something off. It's not "we could launch the button... but no". It was "is this an attack on our troops? we'll have to counterstrike" tensions build up, kaboom. Or "we detect incoming missiles". You cannot have situations like a submarine in the Cuban Missile crisis think it's being attacked and that the US and USSR are at war, and 3 guys voting on whether to launching their nuclear missiles with 1 guy holding it up, or war games being accidentally left in a NORAD computer and being thought by the next shift to be an actual atomic attack, or the Soviet detection of nuclear missiles in 1983 which were one guy (who refused, even when begged by his superiors, to launch off) and say nuclear war wasn't going to happen and the Cold War wasn't going to go hot. That shows an absolute delusion or an absolute ignorance which is exceedingly dangerous in the modern world.
At any second, the Cold War could have erupted into something. It's not just tensions building to an insurmountable amount to where any attack of one side's troops on the other's in even a small or brief thing would force things forward or where there could be a mistake that leads someone to launch a missile and thus bring down everything. It's all those mistaken detections and miscommunications. Our rationality will never save us.
This world we are living in should never be interpreted as the way it was meant to be or most likely to be. That is a tragically naive fallacy. We got lucky.