Nuclear War cartoon

In the 80s (or early 90s) I remember seeing a cartoon that ran on my local PBS station between programs a couple of times.
It had a short fat politician arriving by helicopter and going into a bunker to observe an atomic test.
During the congratulations they detect another atomic test and a tall thin politician from the 'other side' comes on the phone to tell him that they too had tested. This leads both to consider the possibility of accidental nuclear war and their attempts to make sure it doesnt happen. From putting a glass bowl over 'the button' to some cheese and a mousetrap placed inside a computer when they foresee mice chewing through the electrics and starting the war. In any event, the war is started and the world is blown up with the ending consisting of the word 'Peace' flashing across the screen in various languages.
I think the cartoon was in black and white, no actual dialog (other than whispering). The cartoon had some subtle humor (like a bomb exploding and a character shrugging).
Does ANYone know the name of this one??