Maybe in your TL they would do this but I think maybe there should be option to install who as puppet for Germany. I do not think a Fascist Britain and France would allow Germany too be too strong after WWI so they might not have an extreme aggressive leader that could challenge their intrests.
1) Hitler, this could cause friction with France and Britain with his ambitions.
2) A more easier to control member of Nazi Party(not sure who)
3) A normal FA ideology Fascist, maybe a surviving Kapp Putch, Freikorps veteran or the far-right wing of the DNVP
4) A conservative member of the German military
5) A Kaiser figurehead as HOS and governed by a Fascist, NS or PA HoG
6) Partition Germany into many countries.
Also the fifth option should be only if Britain captures a large chunk of Germany.
Also what about Canada and the rest of the Commonwealth? Most likely Brits try to directly integrate India not sure about others.
For the US if the Fascist Entente invades it then I do not think Fritz Kuhn should be puppet HOG due to the precedence of Anglo-French Fascism/Nazism over German Nazism. Maybe have William Dudley Pelley be HOS of a Fascist US in this game.
I should add, for clarification, Germany post-WWI by 1936 is a Soviet republic aligned with the USSR - unless you mean AFTER Soviet Germany is vanquished by France, Britain, Italy, etc.?
You're probably right about Hitler being far too aggressive, even for a fascist France. However, one could say that, assuming that France puts him in power after WWII, gives the nascent Reich German-majority provinces (Austria, Bohemia, and so forth) in exchange for Hitler's acknowledgement of French interests on the continent.
I'd imagine that a Nazi France putting Hitler int power after defeating the Soviet Union would have less of a reason to fear a Nazi German government; Hitler would effectively be entirely reliant on French military support, French backing being the sole reason why he was able to seize power in the first place.
I could imagine Hitler, also, not wanting to attack France if it is just as radical-if not more so-as his new Third Reich is.
The Polish territories would already be within Germany's possession (as described in the timeline over on the Alternate History forum) such as the Danzig Corridor, Upper Silesia, etc., while other territories coveted by the fascist German right could be granted to Hitler's regime as a reward from France/Britain/Italy for more or less leading a quasi guerrilla war/insurgency against the Reds in Bavaria. (Later on in the TL, Hitler with Italian and Austrian backing crosses into Bavaria, from which the National Socialists had been rudely evicted from during the German Civil War by the victorious Reds).
Just some quick thoughts.
Don't know much as of right now about the rest of the British Commonwealth. I'd imagine that South Africa, Australia, Canada, and other dominions would be at the very least more right leaning.
India would probably be even more beaten down by British colonial authorities - giving the invading Red Army ample support upon crossing into northern India through Afghanistan in the TL's alternate WWII.
Still don't know, assuming that India is seized by the Red Army, what particular Indian communists would make up the new regime. Any suggestions?
Finally, don't think that the U.S. will be invaded, nor will Fritz Kuhn play the role of an American Hitler.
At the very least once can elect Huey Long, or possibly Charles Lindbergh, to power which would allow for the option to extend support (so supplies, oil, energy, and other in-game resources) to France and Britain.
That, and to let the player implement a simulated version of Huey Long's momentous "Share the Wealth" program. Effectively giving me, a nerd with an interest in economic structures, a plausible attempt to portray Long's first one hundred days in office assuming that the player elects him. So no fascist Huey Long cartoon-type figure.
Don't know much about what Lindbergh would do as president, but he would probably as already stated travel to Paris (In a reference to his real life travels to Nazi Berlin) - immersing himself in the fascist society - and overtly aid France in its war against the Reds.
However, in the actual timeline Alfred E. Smith has risen to power, so I'll mostly be discussing an alternate New Deal (which in real life he came up with whose idea was promptly co opted by FDR)