The Americas are, as a continent, the site of mass genocide at the hands of Europeans. The intent was to eliminate the native peoples and their cultures, and this intent is both clear and the genocide is ongoing.
This is the big stick philosophy you say you support, it commits atrocities on other human beings in the name of expansion, extraction, and recognition, and unfortunately the philosophy dominates many of our ways of life.
That doesn't mean it's good, or right, or that it is the only way. We should hold ourselves to the standard we want to live by so we can break the cycles of abuse, and we should talk to each other and educate one another so we can deliver the best version of ourselves.
Consider that not all people have always lived with modern ideas of property, nations, and hierarchy. These are, in the grand scheme of human history, pretty insignificant when faced with the vast array of societies and beliefs shared by people over thousands of years. All that is to say domination is not inevitable or necessary, we can choose to do otherwise and all be better off for it.