And let us not discount the possibility that land in the Americas was the site of violence before 1492. Perhaps underpopulation kept that violent contention to a minimum, but surely, Indigeneous peoples learned warfare from practicing it on one another, whether in the Polynesian islands, AUS/NZ, China, or the Americas.
And, White people have used more varied means other than violence in order to get around. Indeed, there has been intermarriage, and economic trade, and all sorts of peaceful, in fact quite agreeable means, of intermingling our culture with the indigeneous ones. It was the same with the Norsemen, the Vikings, the Slavs, and Celts, just to name a few: sure, there was conquest. There was violence and raping and pillaging. But there was also intermarriage and trade routes and merchants who picked up quite willing spouses. It went in both directions.
Let's not attribute to violence what has also been achieved by diplomacy and peaceful means.
And the United States has established embassies and consulates all over the world. We're founding members of the U.N.; we're on the Security Council. We send humanitarian missions all over the place. Surely you cannot argue, with a straight face, that "peace and diplomacy" have not built the society we enjoy today?
Peace and diplomacy are not in a vacuum for us, certainly -- there have been wars; there has been espionage; there have been terrorist attacks. But peace and diplomacy are the primary way, and a more excellent way, and they are avenues that will always be explored and exhausted before violence takes over.
It's a certainty. The tribes were well armed for good reason. The Inca had an army before Pizzaro arrived. Cortez allied with neighboring tribes to go after the Aztecs, as those tribes very much wanted to destroy the Aztecs for their depradations. The warrior culture in N America was very well developed. The Commanche carved out their own empire in the Texas area before the Spanish arrived. They did not learn how to fight from the Spanish, it was the other way around.