During the Weimar years, Prussia was actually considered a republican 'Fortress' within Germany. The social democratic Minister of the Interior Carl Severing successfully placed members of the Weimar Coalition (SPD,DDP,Zentrum) in leading positions within the state bureaucracy and the police throughout the 20s. Thus necessitating the 'Preußenschlag' against its government under Otto Braun in 1932, paving the way for a certain Austrian ...
Breaking it up might have resulted in several of the new states swinging decidedly to the right, especially the more rural ones.
Basically. Bavaria was notorious as the home of of the right wing crazies, not Prussia. Those wild men from the mountains have the capability to think of such ideas and rather emotional enough, but are normally restrained by their humanity and sentimentality. North Germans are somewhat more blunt, tenacious. The Prussians typically didn't think in terms of abstract racial theories, but if you tell them to do something, no matter how brutal...
My maternal grandmother's family is northeastern German (well, apparently there were certain Slavic origins looking at the names and they were Catholic, but nobody *dared* bring that up in front of their faces. 100 percent Prussian, nothing else. It's not unusual, look at Manstein or Falkenhorst. Mixing was far more common in Central/East Europe than in Western Germany) in background, but they married into a Bavarian family after the war, and my physicist uncle is a profound Bavarian who loathes Prussians, like his dad. It's so interesting to see the personality conflicts between him and my thoroughly Prussian great-aunt/grandmother.
Bavaria. It really is Europe's answer to Texas. Culturally speaking, it's a lot more like Austria than Northern Germany. People don't realize this.