I wonder why you would take that position. The Indian tribes involved in the "Trail of Tears" did not live in wigwams; they lived in houses made of wood.
Part of the tragedy is that these Indian tribes were part of the five Indian tribes the founders recognized as “civilized”.
Who taught the Indians to build those wood houses? The subsistence-level Indians sure weren’t living in sophisticated wood houses before whites got here.
Brutish as Jackson was, the Cherokees on the trail brought their own black slaves with them. Meanwhile, the Comanches out west were slicing and dicing (literally) their enemies.