Panzer just means Tank or Armour in general.
Better (but far from perfect) would be
German : Tiger :: American : Sherman
since the Tiger is the best known german tank of WWII
What started, to millions of people, after WWII was the COLD WAR.
What you speak of did not really come to fruition until the later '50s/'60s. (And to all of you who are going to point out the nuclear bombs dropped on Hiroshima and Nagasaki, yes that did
occur, but that did not herald in the Nuclear AGE).