You say “to be fair, Hitler lowered unemployment” although you know exactly that this argument is invalid.
You say “the Nazis built the Autobahn” as if this was totally unrelated to the rise of the automobile in the early 30s. Of course the Nazis invented and enforced useful things, but it was completely for the wrong reasons. Which would be similar to becoming a vegetarian because “Hitler was a vegetarian too”. PS: I wouldnt mind Romneys Hitler analogy, but he used it as an example for proactive energy policies. Liquifying coal in order to replace another scarce ressource is just plain stupid and not even close to sustainability. Just saying.
While a lot of jobs were created through the military and military-related jobs, they still brought down unemployment. Hell, WW2 brought the US out of the Depression in the same manner. In addition, Nazi Germany also focused on infrastructure, such as the Autobahn. And speaking of which: “…after seeing the autobahns of modern Germany and knowing the asset those highways were to the Germans, I decided, as President, to put an emphasis on this kind of road building. … The old  convoy had started me thinking about good, two-lane highways, but Germany had made me see the wisdom of broader ribbons across the land.” -President Eisenhower The Autobahn did start somewhat during the Weimer Republic, but not much progress was made and it was not a priority for the government. It wasn’t until Hitler’s regime that construction and progress on it really took off. Hell, he started on it days after coming to office, and the improved infrastructure did help Germany recover, both from having better lines of commerce, and from employing thousands of people. Hell, the Autobahn wasn’t even much of a military asset for Germany. The vast majority of troops and military supplies traveled via rail, due to gasoline and trucks being needed at the front. Though, I do agree with you in that liquifying coal isn’t a good energy plan. My original comment was more in response to those getting more worked up over the connection to Hitler, unable and unwilling to understand that there were a few things that Nazi Germany got right.