Nuclear Weapons contribute to human extinction: but not in the way you think

What happened since Hiroshima and Nagasaki?

There have been no more really big wars.

There have been many "police actions" like in Viet Nam, Afghanistan, Iraq, Syria, Yemen, you name it. There have been many around the world.

But, Wars (Big Ones like World War I and World War II have ceased to exist because of nuclear weapons)

Why? Because everyone knows if you let loose nuclear weapons the likelihood is the earth and all life upon it will end.

So, because there cannot be formal big wars anymore overpopulation is more of a problem now than at any time in human history.

So, because nuclear weapons prevent big wars, overpopulation may kill us all in the end.

How Strange is that?