Not one war, because not one people. Many nations and tribes. Only some of it was outright war, that’s not an accurate enough description of how colonialism works.
Mostly, the people of the Americas were defrauded. Massive population crash was due to disease but also famine and displacement and disenfranchisement, and not necessarily by force. Lies were much easier.
Your reproduction of the simple Law of the Jungle myth is part of the narrative of settlers.