I was kind of thinking maybe it's not the Germans that cause this war. So they have a smaller peace time army so they don't have to blow their economy arming millions, except for maybe a fleet. So Then WW2 starts and they begin a rearmament. Although I'm not sure how a cold war would affect the sizes of armies. I think that would be Frances problem. Instead of trying to train 60 divisios with good weapons, they would try and equip 100 diviosions with sub standard weapons because they will be facing 2 large enemies.
A Cold War with Germany in one piece, unblooded by WW2? It depends on who with, and "who with" usually describes "how you got there."
-If it's just the USSR, chances are France and the UK are neutral at worst, and Germany's at least trying to be sane.
-If it's the USSR and France with UK neutral, Germany's probably being slightly aggressive, though skillful diplomacy and careful resource management might get the UK or US on their side (it'd take Bismarck reincarnate,) but nothing too crazy.
-If it's USSR, UK, and France together? Germany's doing something dumb enough to guarantee it'll go pariah and collapse, or start picking fights and get knocked out.