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1. No, Germans didn't seek world domination, but peaceful coexistence. It was clear in 1933 that that won't be possible, as the jews have decided to bring war upon Germany, ***no matter what.*** They *had* to make sure the secret recipe to bring MASSIVE prosperity to a country - removing the jew from positions of power and influence - becomes denounced, ridiculed, hated and gets out of question. Given that war was inevitable, Germany decided to fight and try to win it.
2. It was jewish propaganda that made US Americans believe Germans wanted to conquer the world. Which is how they could motivate people to fight wars abroad. After Pearl Harbor they immediately ran towards Germany, which is as surprising as how Britain declared war ONLY against Germany, but not the Soviet Union even though both attacked Poland, and they had an alliance.
3. Even if Germany "won", it would be through achieving peace. There would be no way they'd plaster the US with swastikas and have a highly militaristic environment. They kept conquered France as it was - French. They didn't want to convert them either. They didn't even hate the French - they settled with the idea that they were controlled by jews to do evil things against Germany and even themselves. If anything, a Germany that lasted that way would have converted the US ideologically over time, increase the noticing, and eventually make them solve their jewish problem themselves. They couldn't have stopped the process.
4. Assuming Germany would have conquered the US (despite all reason), they would have kept the US culture, but liberate them from the jewish occupation. Things like the "Civil Rights Movement" would have never occurred, segregation would be still a thing, if not outright deportation of niggers. The ratio of Whites in the US would remain at least 90%, and nowhere on the planet any White country would suffer 3rd world mass importation. It is possible that there would be Germans who'd migrate to the US... which has happened century before that too btw.