The US is not founded on 'someone else's land'. Small portions of the US perhaps, yes, and treaties and courts work through that. Most Indians were hunter/gatherers, and suggesting that because someone roves through massive tracts of land is ownership, is beyond weird.
Seasonal camping sites make sense, more from a 'our land' perspective.
And naturally any signed treaties should be honoured.
You may say "But, they were here first!", yet that's quite false. Native Americans invaded as well, either subsuming or slaughtering existing populations as they did so. Further, Native Americans warred, fought, killed each other, just as Europeans, Middle Easterners, and everyone else on the planet did. After all, human is human is human, and that's (sadly) what humans do.
And if you look at every other country on the planet, the precise same is true. Locals pushed aside as newcomers invaded, whether the UK, Scotland, Russia, Germany, the Middle East, literally every place on the planet.
There is no peoples, no country, no ethic group, which has not over time invaded another.
There is no one alive today, that does not stand on land once called 'home' by another.
You may wonder why I say this, but instead of discussing a land plot inside a Western country taken over by another citizen, you immediately dove into Native American rights and a Middle Eastern conflict for some inexplicable reason.