I was just thinking about the same however I've made some adjustments keeping the best parts of your ideas and adding some of my best Kaiserreich games so far.
Firstly we need 2 strong alliances to actually have a cold war. Therefore CSA wins in America. Secondly we need a longer WW2 or else it won't be a WW at all.
CSA - After winning the Second Civil War in 1942 they run over California and started to rebuild the nation. In 1944 when most of the fleet of the Union of Britain was annihilated by the united Canadian and German High Sees Fleets they requested the aid of CSA who agreed on the terms that they can annex Canada. By 1945 summer Canada was removed from the map despite all of her efforts to revive/save Democracy. CSA became the leader of the 'modern' Synditern with her military might and industrial power.
France - the original home of Syndicalism. By 1939 they have assembled many states of Europe to avenge the first WW1 on Germany and of course to liberate the hell out of everyone. The 'early' Synditern consisted of France, Britain, Southern Italy, Ukraine, Netherlands, Union Anarquista Iberica and Scandinavia. In September 1st 1939 France demanded Elsaß-Lotharingen from Germany who didn't give into the demands. In two weeks they blitzed through most of Northern Italy. The Northern Italian forces held on the Milan-Padua line till the end of the war. In 1940 Flanders-Wallonien was conquered and divided with the Netherlands. Switzerland was attacked as well to take Romandy, with a mayor success taking Genéve. By 1941 most of the Germans were pushed out of Elsaß-Lotharingen and the even Essen was just in an arms-length. '42 Finland, Austria, Poland, Hungary and Bulgaria joined the war, the frontlines are frozen. 1942-43 winter, heavy fighting in Essen and Saarbrücken (OTL Stalingrad), the tide has clearly turned, the Germans started to push into Groningen, Netherlands. In 1943 summer the Netherlands fell, by winter the Mitteleuropa forces reach Lille in France and Genova in Italy dividing the European Synditern. On May 23rd 1944 Paris fell, the French government moved into Bordeaux. At the end of August most of what's left of the French forces got encircled in Tours. A week later France capitulated. On October 10th 1944 Naples and on December 20th Madrid followed the French leaving England alone (don't worry I didn't forget Scandinavia and Ukraine) and effectively ending WW2.
Union of Britain - in 1945 being backed by the CSA and losing an enemy on their Western shores they settled the peace with honour with Germany. As part of the agreement Shetland has become a German naval base. On September 2nd 1945 the guns finally fell silent (without any nukes used). Although most of the nation was in utter destruction thanks to the constant German bombing (V2s since 1943) and most of their fleet was lost (no CV left), they have survived the second world war and are ready to rebuild by American help.
The Netherlands and Flanders-Wallonien - Flanders-Wallonia was lost early in the war and divided by France (Wallonia and Luxemburg) and the Netherlands (Flanders). After the war the former Belgium was re-liberated and divided the Netherlands with Germany. Also annexed French Flanders. Germany annexed Eastern Wallonia, a former part of Belgium.
Scandinavia - before '42 they were the most inactive part of the Synditern but '42 Finland (national populist) joined on the side of Germany hoping even more conquest. The disorganized Scandinavian armies were crushed by the very well trained and war experienced (Russian war) Finnish forces. In 1943 spring a small Danish-German expeditionary force returning from the Ukrainian front has taken the shores at Malmö. By early summer Stockholm fell and in September Scandinavia surrendered. Finland acquired Lappland. Sweden and Norway reborn with the return of their kings in exile from Berlin.
Russia - during the second war against the Bolsheviks they won by the help of Belarus and Finland who were rewarded with Karelia and Magilov-Polotsk. Ukraine and the Don-Kouban Republic also seized some lands on the borders. After the war Russia returned into extreme isolationism. Later on they were able to demand back some territories from Mongolia.
Poland , Belarus and Lithuania - during 1940 they tried to turn away from Germany with however they get badly beaten by the little forces left by Germany in Prussia and the Baltic Duchy. Unfortunately for Germany it opened a direct second front towards Ukraine who fast pushed the few German forces back into Vilnius. In 1942 Germany agreed the Polish demands in West Ukraine and Belarus Poland and signed the Mitteleuropa aggreement. They were also joined by the Hungarian and Bulgarian forces returning from the 4th Balkan war. April 3rd 1943 Ukraine surrendered. The Lithuanian King in exile returned to the thone of Lithuania. Poland chose Mindugas as their king, restoring the Polish-Lithuanian Commonwealth, under the guarantee of Mittleuropa.
4th Balkan Wars - Hungary, Bulgaria, Montenegro (Hungarian puppet, form 1945 free state) and Albania won the war against Romania, Serbia and Greece in 1942. Collaborate Kings were installed. Albania got Ionia, Bulgaria got Nis, Constanta and the Danube Delta and Ukraine occupied Ismail after 1943. Romania has most of her claims on Hungary, Serbia on Macedonia and Vojvodina and Greece on Korerce and Makedonia. In 1962 (20 years later) a plebiscite should take place in all of these terratories (except for Constanta).
Hungary-Croatia - After the Ausgleich war the two formed a new dualist state. Croatia cosists of Bosnia, Dalmatia and Croatia main while Hungary conists of Transylvania, Banat and Hungary main regions. Since both Croatia and Hungary are multi-ethnic, unlike in Bohemia, magyarisation and croatisation were enstated. It is very likely to have ethnic uprisings. How effective such a state can be is still the matter of the future.
Arabian War - Egypt and Arabia (the Saudis united the whole peninsula) and the Kurd rebels gave the final stab to the sick man of Europe. After the war Egypt signed the German-Arab naval agreement for leasing the Suez canal for 50 more years. Aden was returned to Arabia. Greece also got all of her isles back.
Mittelafrika and South Africa - turned their back on Europe, extremist nationalist states. (Mittelafrika is not any more a puppet of Germany)
India - the war still rages between Delhi and the Syndies (should be something like OTL China).
New France - after the fall of Canada and the Entente they agreed to the demands of Germany and finally returned to Europe.
Quing Empire - with the Sino-German agreement (lots of resources to Germany, Chinese scientists trained in Germany) in 1942 the road became clear for the reunification of China. By late 1945 all of the warrior clans have finally bought back under one house.
Causcaus - totalist state, and the last syndicalist state in Europe however they are in extreme isolationism. Thanks to their radical views not even the Synditern befriends them. (Mostly like OTL North Korea after 1990 )
Israel - Madagascar turned into the new home of the Jewish people, proclaiming their own free state.
Centro-America / Mexico - Mexico is a puppet of the CSA, Centro-America is part of the Synditern. The earlier paternal autocratic government of Mexico was crushed by CA and the CSA.
Indonesia - currently German puppet state created after the fall of the Netherlands
La Plata / Brasil - Chile joined La Plata seeing the growing syndi threat. Brasil and La Plata were preparing for war but Brasil had a democrtic coup. Bolivia was left alone and fell fast under the pressure of La Plata. Brasil and La Plata have entered into a non-agression pact.
EDIT: didn't colour most of Pacific isles, I don't know which one should who get, there are just too many of them

.