CarolC, I love your terminology, but just to historically correct anything that happened to the North American Indians after 1776 in the US was done by Americans, who may, or who not have been "European Settlers" they were definitely not "European Colonialists" as Europe after completion of the Louisiana Land Purchase held no part of the USA.

The British generally held to their treaties with the indigenous population (The major source of contention between the Colonists and the Crown - it certainly had nothing to do with taxation, or oppression - they were the excuses given at the time), so did the Spaniards and the French. The only people with a vested interest in a land grab in the USofA were the settlers (Americans) themselves, not the Governments who sent them or allowed them to depart.