OK, let's talk for a moment about Nazi "barbarism".
Nazi Germany was a highly advanced, ordered, cultured, and in some ways "progressive" society. Nazi Scientists identified the "Jews" as a distinct race within Germany who refused to integrate into the Reich, confirming their Leader's suspicion about these people. Nazi engineers and planners then came up with a typically German (logical and efficient) way of solving this problem.
That solution which we call "The Holocaust" was, in fact, mechanised culling of a type actually far more humane than methods we use for pest control in the modern day - see discussion of the downsides of shooting foxes.
The point is, and this is essential, is that only a Civilised Nation could have done what the Nazi's did, both morally as well as technologically a pre-Enlightenment society would have been incapable of such "barbarity" because, at the end, the Nazi's were actually the polar opposite of barbarians.
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