This makes me wonder how things will be affected as the US becomes a more Latino nation. — frank
That is a good question, and one which was asked by the established population in the past. Those Irish! Those Italians! Those Jews! These unwashed rabble yearning to get here...
Largely what happened is that they assimilated and became the average American. They also changed what American had been earlier. Without the Irish, no corned beef. Without the Italians, no pizza. Without the Jews, no hot bagels and lox. With the Latinos everything is becoming a burrito.
The more contacts with the old country, the slower the acculturation. Latin America is not an ocean away.
The location in their native society from which immigrants come is a factor. A lot of Germans (pre-civil war) were from the German middle class. Later they were poorer laborers and farmers. Most of the Irish were displaced starving poor.
Latin America isn't a homogeneous continent. It is undergoing major changes along with the rest of the world. Previous groups have brought distinct flavors of politics, culture, crime, clothing, and so on. Irish gangs, Italian gangs, white gangs, Puerto Rican gangs, black gangs, latino gangs. Octoberfest, beer, bratwurst, but mercifully, no lederhosen.
Really, the cultural contributions of immigrants is too large to nail down. It's pervasive.
Staid Minnesota has a (relatively) large population of Somalis, SE Asians, and Latinos. I don't buy the argument that "diversity" is inherently good, but as time goes on, the immigrants have not changed staid Minnesota all that much. Annual consumption of pho and burritos has gone up, but Minnesotans have not taken to goat meat. People are not flocking to become Moslems or Buddhists; the latest immigrants are not becoming Lutherans. Yet, anyway.
The United States has regional cultures which over-ride the single 'national' culture. The Deep South and the west coast are distinctly different. The Great Plains and mountain states are different than the east coast. New York and Omaha are not just different in size. Charting how immigrants might change the culture has to account for how the various American cultures are changing -- apart from immigration.
I would prefer that immigration be sharply limited, but in reality I don't think that will be possible. In the decades ahead, the disruptions of climate change, population growth, poverty, war, and injustice are going to let loose a lot of population movement--willing and unwilling, desired and not desired.