I'm not sure she wanted to exterminate them, but rather just take their land. I'm not entirely sure how that'd work, but still, I don't think she actively said to kill them.
However, her reason behind it was wrong. She claimed that Native Americans didn't have a right to the land because they hadn't settled it - which isn't right. While many tribes were nomadic, there were settlements created by Native Americans. The most prominent one is from the Pueblos who built a sizeable city in a cliff face. Much of this came from flawed anthropological thinking of the time though and some of the most well-respected anthropologists of the late 1800's and early 1900's often thought native people were "savages" for various reasons. It led to a ton of ethnocentric fieldwork.
To be fair, Rand probably wasn’t really into the idea of social housing projects... so what did she expect them to do if all their lands had been taken?
I think it’s a pretty reasonable conclusion to come to. And if someone asks you if genocide is a good idea and you don’t say; ‘nah’ questions are gona be asked