Well, if you accept that the left wish to create a more egalitarian society, then Death is certainly a great (but extreme) leveller. However, the Nazis were not particularly egalitarian and you could be an entrepreneur, get rich, own property, etc. Their actions were extreme, but not, to me, extreme left. As for authoritarian mass murderers, there are plenty of examples of those throughout history, many of them Emperors and Monarchs.
Use carrots and sticks to force the little fish into the big tent - Anon