Sounds more like communism than socialism to me. Still, come the day you rule the world you can try to impose it. I assume you did mean a worldwide abolition of private property...Taking something by violence is morally dubious. Buying and then owning something that has been taken by violence is also morally dubious. Technically, all land has been taken by violence (much of it explicitly so). The only moral thing to do is obviously to abolish private ownership of all land and resources.
A lot of the land taken by violence represents ancient grievances, that have long been redressed or dismissed in one way or another. There seems to be some collective sense of a "statute of limitations" on the subject. And in many cases, the culture that took the land no longer exists anyway. Nobody is holding modern Italians liable for overrunning the Etruscans. Nobody even thinks they're unfairly occupying land that was stolen from the Etruscans. That is all literally ancient history, and for the most part everyone is content to leave it that way.
But the European overrunning of Native American land is recent history. Modern history, even. The culture that did it is continuous with the culture that occupies that land today. The culture that was driven out is continuous with the culture that claims a grievance today. It is facile and disingenuous to dismiss the Navajo grievance as if it's on par with the Etruscan grievance.
Ok, so what do you propose the "non indiginous" people of the US shoud do about it that would make a significant difference?