Historically, the nazis were neither liberal (favoring liberty and broadly-shared social/economic development) nor conservative (favoring the preservation of existing social arrangements). What they were was radically authoritarian, totalitarian, irrationalistic (the one key feature that might license us comparing recent political developments worldwide to naziism!), and engaged in the pursuit of war, militant politics, violence and State-managed, systematic violence - generally associated with extreme and utter demonization of all sorts of 'unwanted' social outgroups. (We nowadays see such demonization and routine violence being practiced by e.g. non-State actors such as ISIL, but not so much in mainstream politics, thankfully!)