I think that those animals would absolutely do the same thing if they had the physical and mental capabilities

Definitely depends on the animal. Bonobos and Chimpanzees - our two nearest relatives - have dramatically different dispositions and cultural patterns. Go further back in history and you'll find six or seven other close ancestors to homo sapiens spread across the globe, each of which developed their own distinct behaviors.

Even to say "they'd behave like humans" requires a very broad brush, because human behavioral patterns are also extremely variable. The Columbian explores had a dramatically different social pattern than the West Indies neighbors they initially encountered.

Since there are finite resources, if they’re too successful they start to become victims of their own success.

This goes back to the infinite growth engine of solar energy. If you can capture more sun - either directly or by proxy - you can grow with fewer bounds. Organisms best suited to this task fruitfully multiple. But there are still evolutionary dead-ends - patterns that seem fruitful in the moment but only because of a temporary state of affairs.

The engine of evolutionary development is an erratic oscillation between environmental compromise and conflict, exploration and exploitation, production and consumption. Because the rules are always changing, there's no permanent winning strategy.