I suggest you watch the show "The Man In The High Castle". It's happening after Hitler won.
Basically the world is split in two halves.
All of Europe and America and a bit of asia is Nazis. And the rest of Asia is controlled by the Japanese Empire which is controlled by the Nazis.
People have barely have any freedom (specially in the Japanese Empire), they learn German, they do the salute etc....
It's a very interesting show and it's well made.
There's also the last Wolfenstein game to get an idea

Thanks Yuk. I will definitely do that.

@famousone, @funkmasterrex, @guest_, @serosenpai. You guys wanna say anything?

Lots of scientific progress at the cost of lots of life. Lots of "ethnic cleansing" and destruction of non-compliant culture to prevent possible uprising or rebellion via opposing ideals or values. Children possibly being raised by the state instead of the parents in some parts of the world to endear the next generation to the leadership. thus smoothly keeping the current dictator in power, and preparing the society for a favorable reception for the next one. I'm also willing to bet the Nazi's would've finished their nuclear bomb project and used the V2 rocket program to kickstart bombing the shit out of Russia and non-complaint (occupied or not) territories to keep everyone under heel.

The Hitler salute was the party salute. Most Germans weren't part of the party. I think that shortly after winning, the Nazis would've gone into a civil war, just because they wouldn't have a common enemy to unite against after taking Japan.

But everyone was compelled to do it. Party member or not.

And your's is a different take. People generally think that Nazis would have took over the world. But I like your view too. Seems very real.

I think only the SS and party members were compelled to give the Nazi salute.
Anyways, my reasoning is that towards the end of the war, attitudes in the German military took a strange shift. Take the Final Battle for instance, German soldiers took over a castle and asked nearby US Infantrymen to help them protect political prisoners that the SS had orders to execute. That is evidence enough that many Germans weren't absolutely loyal to Hitler.

It's because it was the end of war. And that section of SS soldier refused to give up

My point is, that wouldn't have happened as often as it did if the Nazis truly did have the hearts and souls of their subjects.

It's historical fact that many joined the nazis out of fear, or simply because being a nazi was the best path to a decent standard of living- and the only real shot at being very successful. Later in the war many in the party were not fond of Hitler at all, and saw him as increasingly feeble minded and coming unhinged. By then it was mostly to late and fear kept people in line- especially of the elite SS who were loyal to him. The Nazis were surprisingly mostly just regular people- few were cultist loons, it was more like they had Bieber fever and their Bieber just somehow had a worst hair stylist and a big soft spot for genocide.

As for the original question.... that's really tough. Might need some help. I think it really depends on when the war turned from our known history to one where the nazis won. Late war could see a bartered Germany with not enough troops allowing the U.K. and US to exist as puppet states so they had more men to occupy annexed territory and keep the soviet lines secure. Stalin was dug in, so with the Japanese to the south the smart move would be to pull back the offense and box the Russians in while rebuilding armies and stability. With the Japanese in china, the communists would never have come to power. The Cold War would have been more about trying to starve out the Russians while Plotting how to take down the Japanese. I think this may actually have made technology develop slower post war. There wouldn't be the huge push for transcontinental weapons the US vs USSR conflict pushed. The pressure to space likely would have been reduced and put as a lower priority to ensuring control....

Of the new empire and the social and genocidal programs the party would want to enact post war. The soviets would likely try to spread communism to South America as one of the few areas they'd be able to- as well as small insurgencies in German territory. Terrorism would likely be a larger threat than state to state war, so I think the nuclear program and other things would slow as well. Many post war developments were based on nazi and Japanese research, and I don't think the Japanese would share that data even with the Germans. So late War I think that's one possibility. If history broke off earlier- or for a reason like Germany building atomic bombs early.... it could go a lot of ways.