You still have the problem that west Germany isn't that stupid, not does it have the military to take on both east and west .. again..Well...
My guess is, that if we wanted such scenario to happen, we would need to give Germany different reasons to do so, rather than totalitarian ones. And I think that these reasons would be being fed up by a propaganda "We were not nazis". It's present within OTL as well: the death camps are suddenly no longer called "german", but in many cases they are referred to as "polish", World War 2 is said to be started not by the Germans but by some nation-less nazis... Heck, even in today's popculture we have the MCU in which it is said that "Germany was the first country conquered by the nazis"... A historical revisionism at its finest.
Why am I writing it? Because we could assume that such propaganda within West Germany could lead to a belief that "Poles were nazis, not us, and they dare to occupy our eastern lands?". In OTL for decades after ww2 West Germany refused to recognize the new borders and kept treating them as german, whether within the educational atlases...
...or in the weather programs.
So if we want West Germany to start ww3, it could be over this. Not for national socialism, but rather in a desire to cut itself out of it by throwing the responsibilities upon the "evil nazi Poles". In OTL only on 7 December 1970 the government of West Germany recognized the borders of postwar Poland. And even then, it had to wait to be ratified until 14 November 1990.
August 45 ended large scale European war up until now.
(Now that said Germany was no solely responsible for world war 1 .. it wasn't blameless .. but not sole)
World war 2 .. that's on Germany and Germany carries that blame and shame ...
No Germany isn't starting world war 3 .. most assuradly is ground zero in said war
.. but not the instigator