Incorrect. Nuclear and ecological Armageddon were not threats in previous epochs. They are unique to our time and threaten to extinct us as a species.
But you are correct, at least, that the threats posed by common illnesses and poor sanitation and lawlessness are largely diminished in western societies. Now all we have to contend with are the super-diseases being created by our overuse of antibiotics and a vicious feedback loop between a violent and militarized police state and a generation of frustrated youth so beleaguered by anomie that they are eager to shoot up their fellow citizens just to feel human again.