The second tendency stemming from dwelling so much on Hitler's exterminationist logic is to begin to absorb it and to start thinking like Hitler himself, to say to oneself:

Well, while it wouldn't do to come out and quite say it publicly, it's simple logic that if we can't democratize the Muslims (which looks increasingly implausible), we'd better do unto them before they do unto us: exterminate them.

That way of thought leads toward a war of nuclear genocide that would be as unnecessary as it is criminal.