Yes, there was some similarity between the Hitler domestic program in Nazi Germany and the Obamaton 'Rats in the US today: like centralized control of the economy through all-powerful government, government health care, gun grabbing, and government repression of opposition political parties, for starters. Unless we in the US changes course, these similarities will become more apparent in future, regrettably.
But Nazi Germany above all was a militarized state with an ultimate goal of aggressively expanding to rule all of Europe. American foreign policy was thankfully never like that, but the current 'Rats support a historically more wimpy policy toward the outside world, as compared to historical American standards. That's kind of the opposite of Nazi Germany in that respect.
Socialists believe that society would be perfected by eliminating the capitalist class. Fascists believe that society would be perfected by eliminating the inferior races. Class, race. Either way, somebody has to be eliminated.