All these countries and the Andes themselves are extremely
rich in the natural resources. They have it all: wood, oil, gas, copper,
salt, lithium, ore, precious metals like gold to name the few. Unfortunately,
due to unstable political situation in these countries and poor working
conditions its hard to reach all of this natural wealth.
Voting rights, I would say.
I believe your answer is: The settlers cooperated with the American Indians because they needed the American Indians’ help to survive.
(This didn't last for very long, but it was good while it worked at first.)
Voila! I hope that helped :D