Which group of indigenous peoples are we talking about here? A couple of examples where there was no "stealing of land" but rather conquest due to declared war which included declarations by Native American tribes...
The first is the French and Indian war. This was an extension of the Seven Years War in Europe carried to the Americas. Both the French and British enlisted--willingly too--the support and alliance of various Native American tribes to fight with them against the other. Most of the tribes broke along internal warfare lines they already had. That is, there was warfare among the tribes and they sided with the French or British because their enemy tribe(s) sided with the other.
At the end of that war, tribes that sided with Britain were rewarded and left intact. Those that had sided with France, and were now on the losing side, saw their land confiscated and their tribes dispersed. Nothing unusual for the time period for that to happen.
During the War of 1812, the Great Lakes tribes under Tecumseh sided with Britain hoping to win more land and protect their current lands. The British and Americans negotiated a peace in 1815, and the British left those tribes to swing in the wind. The US saw them as defeated enemies and annexed their lands as spoils of war as was the custom at the time.
The Plains tribes (aka Lakota etc.) and Apache as two examples, had no specific lands or territories. They were hunter-gatherers and raiders. They moved over the landscape and didn't establish any sort of permanent sites where they lived. That amorphous nature of their existence made it difficult for them to claim some lands as theirs when basically anyone could move across it or even settle on it.
A clear case of stealing land is Andrew Jackson's forced removal of the Cherokee to Oklahoma (aka The Trail of Tears). That was, indeed, a raw land grab and wrong. But don't go making sweeping generalizations about what Europeans or Americans did in N. America. You have a stronger case for this being done by Spain and France in the Caribbean and in Central and South America.
