you’re as much a Nazi as any Englishman today is a coloniser. Which is absolutaly not at all, obviously! And have you no clue how many countries American invades? Now, in modern times, not distant history. Your high horse is lame.
you’re European American, most of your ancestors did exactly the same and then you went and did it to North America. How on earth do you think that’s any different?
The DTV would tick every box and your family would get visas as your dependents. Educational visa is an option if you don’t have the funds in situ to show for a DTV but it’s more faff and an agent can do a work around for that for you anyway to still get the DTV.