Although "superior" is a value laden, not a scientific word when used in the sense you mean it, I get your point.<quoted text>No worries. For one, I don't think humans are just another ape. THere is no ape even close to us. There is no ape that is a musician, carpenter, artist, poet, contractor, doctor, plumber, electricain, multible language expert, pilot, engineer, mechanic, politican, lawyer, surgeon, mason,....etc. I believe the bible where it says that humans are superior. Evolution says we are just another animal. It is obvious we are not.
We are superior at music, carpentry, art, etc, just as you say. Politics I am not so sure.(Tongue in cheek, but actually chimps have highly complex and shifting power structures based on temporary alliances, favours, and privileges)
Chimps are superior at climbing, pretty good at cracking nuts with stones, group hunting and warfare, and making little tools to fish out termites.
Really, the common denominator in all your list is the fact that our brain has expanded to 3 times a chimp's one, and chimps already have huge brains by mammal standards. We are the world's best abstract thinkers and communicators. Our hands are also better for fine precision work than a chimp's, but the chimp still needs his kind of hands for climbing, and we don't. These differences together account for us being able to do all these things.
However, to continue your line of thought, in evolutionary terms there are really only two measures of "superiority" and these are fitness and adaptability. Humans are not necessarily the most fit for a given environment but they are extremely adaptable because their intelligence allows shortcuts. Don't have fur? Drape yourself in a bear-skin.
So we are not "just another animal", we are an animal that has made a breakthrough in terms of applying abstract thinking to the trials of survival, and on the scale we do it, this is unprecedented in billions of years. Whether this new strategy works in the end only time will tell. Intelligence is not the goal, its a means.
And when we look back at that succession of ape-hominid intermediates that I say are ancestral and you say are not, we see the gradual emergence of advanced tool making and range increase into difficult environments that this emerging intelligence enabled. Boiled down: vastly increased adaptability.