Actually, since an organism's greatest enemy is usually its own species (since it has the most in common with it and therefore is fighting over similar resources)
Biology 101 FAIL!!!
When was the last time that you found yourself competing with a sparrow or a rabbit for territory and breeding opportunities?
The same time a sparrow and a rabbit engaged in "cooperative hunting" behavior with me. FFS is it so difficult to understand social-group evolutionary theory??
Human social evolution wasn't driven primarily by the need to compete more effectively with non-human animals; it was driven by the need to compete more effectively with other humans. Social aptitude only has a minor impact on an individual's ability to hunt, forage and avoid predation, but it has a huge impact on an individual's ability to secure a breeding partner, and the combined social traits of individuals in a group has a huge impact on the ability of those individuals to compete with individuals in other groups, who as a group may be more or less socially cohesive, aggressive, xenophobic etc. There's a long history of groups of humans being displaced or wiped out by more aggressive or sophisticated groups of humans, but not so much of a history of groups of humans being wiped out or displaced by sparrows, rabbits or even dangerous predators like lions.