But in general they don't have the neural hardware to precisely time the release as accurately as we do. Even a millisecond difference changes the trajectory a lot.
Apparently you're half right - pretty much every mammal will sweat to some degree (its almost a defining feature of mammals - mammary glands are modified sweat glands) - but only a limited number of mammals sweat heavily, horses being another notable example.
That is not correct; endurance hunting is about walking, not running.
"Persistence hunting (sometimes called endurance hunting) is a hunting technique in which hunters, who may be slower than their prey over short distances, use a combination of running, walking and tracking to keep pursuing prey over prolonged time and distance until it is exhausted by fatigue or overheating. A persistence hunter must be able to run a long distance over an extended period."
Two feet running allow human to breathe deeper in lung when running, that's how our ancestors hunt huge animals, chase them to exhausted.
That is not strictly true. Even leaving aside the tools argument (a human on a bicycle is vastly more energy efficient over long distances than a wildebeest, for example), our sight and hearing are actually pretty good compared to the rest of the animal kingdom.
For a certain range of tasks, we have the best visual perception of any species. Our eyes themselves are pretty damn good for close-in and medium range work. The pattern recognition processing that input is very, very good due to our big brains. Tasks like being able to detect a tiger moving through the underbrush. Color vision is also very good (at least in daylight) to better pick out ripe fruit and such.
Our directional hearing is better than owls who hunt at night for a living. We can better measure the angle at which a sound source is coming from with around twice the accuracy of an owl. Again due to big brains and very complicated audio processing. The folds in your ears are there for a reason. We aren't as sensitive as other creatures like deer, who can steer their big ears (basically parabolic horns) in a particular direction.
And hand-eye coordination is far above any other species, even other primates.
Don't sell yourself short!