No, Franco's nationalists won in Spain and he ruled the country for nearly 40 years. Hitler sent German pilots to fight for Franco, called the Condor Legion, but this is not what started WWII.
WWII was ignited by the German invasion of Poland in 1939. After WWI, the German Empire was broken apart and new countries were created, and old ones liberated, where Germany had once ruled; like Poland, and Czechoslovakia (now Czech Republic) for example. The German state of East Prussia (now part of Poland and the Kaliningrad Oblast of Russia) was cut off from the rest of Germany by what was called the Polish Corridor. A very important port city called Danzig (now called Gdansk), located in Prussia, was declared a League of Nations Free-City by the Allies at the end of WWI, and was cutoff from Germany by the Polish Corridor. After Hitler reclaimed Czechoslovakia into the German Empire by annexing the Sudetenland, and subsequently invading Prague, he began to demand that the Poles surrender the Polish Corridor to Germany, so they could gain land access to East Prussia and Danzig. The Polish refused these demands, and the Germans invaded Poland after signing a non-aggression pact with Russia called the Molotov-Ribbentrop Pact. In the agreement, Russia was granted the eastern half of Poland, whereas Germany claimed the western portion. After the Germans invaded, the Russians followed approximately two weeks later and Poland was absorbed by the dual aggressors. Britain and France declared war on Germany in response, before Russia had entered the war on Germany's side, but were of little help to their overwhelmed Polish allies.
Defend its Allies and Defeat Germany
Arab Nationalism rose to prominence with the weakening and defeat of the (non-Arab) Ottoman Empire in the early 20th century and declined after the defeat of the Arab armies in the Six Day War.
After WW2 the United Nations began a policy of containment to prevent the spread of Communism. The Chinese civil war involved government nationalists and communist guerrilas. The US supported the nationalists to try to stop the communist takeover.
Nationalists. Historically, Nationalists have been supported by those who see the world as divided by cultures as opposed to divisions in political systems, regional values, or realpolitik alliances.
The Cold War began after the Second World War ended in Germany and Japan's defeat.
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Chiang Kia-shek
Communists and Nationalists
The war reparations imposed on Germany at the treaty of Versailles were seen in Germany as exceptionally harsh, and the Nazis and other nationalists viewed Germany's defeat as a treasonous deal done by politicians - the called it the "Stab in the Back". This idea that Germany had been cheated into a defeat became part of the ideology of the Nazis, and was one of the reasons why large numbers of Germans supported them.
Chiang Kai-shek