Polynesian culture didn't develop in Indonesia though. And as evidenced by the history of Indonesia, the various cultures there aren't overly good at living and let live.
Polynesians had agriculture, but they also had limited natural resources on account of, well, living on islands, and limited arable land. They developed extensive trade networks to overcome these resource limitations[0], but their migrations tended to occur when overpopulation led to warfare.
On the agriculture - fun fact, the staple crop of the Polynesians who settled New Zealand was kumara - a sweet potato. Sweet potatoes being native to South America.
[0]https://www.popularmechanics.com/technology/a21796/ancient-p...