When you think about it, from several points of view, apes are already a bit strange for mammals, and we are a quite strange kind of ape. Our cerebral cortex is three times as big as a chimp's, but that is hardly the most qualitative difference between ourselves and other apes. We are bipedal -- quite a rarity in mammals. Unlike almost all mammals and any near relative we are naked. We have vocal chords and speak grammatical language full of metaphor. We have something close to monogamy, again rare for mammals, and many of us seem to instinctively collect decorative objects -- AFAIK a habit shared with no other mammals but only a few birds. Then of course there are hands and technology -- with which we've done unprecedented things like strip other mammals of their fur so as to don it ourselves and keep our own otherwise preposterously exposed bodies warm. The facial evidence has always suggested that some rather improbable and important things happened during our evolution that didn't happen with other mammals.
Some genetic evidence for this human uniqueness has just been published. In particular, a very interesting RNA gene called HAR1F that operates during fetal development, and has been remarkably stable among almost all the other land vertebrates for the last 300 million years, has radically changed in the last 5 to 7 million years since our line split off from the chimps'.
The difference between chickens and chimps - which are separated by 310 million years of evolution - is just two mutations out of a total DNA sequence of 118 "letters" of the genetic code. Yet the difference between chimps and humans - separated by 6 million years - is 18 mutations in the same DNA region.
I don't expect this to be the last revelation of improbable and fundamental genetic changes that occurred between chimps and humans.
I'm sure this will suggest to some intelligent intervention. There's already a big group of late night radio fans who think aliens intervened in human evolution, and it's also a good bet that religious "intelligent design" folks will use this finding as fodder. To me, it doesn't matter much how improbable we are, because we wouldn't be thinking about these things in the first place if it hadn't happened. In any case, the small number of chemical changes that these researchers have found in the HAR1F gene are not, just by counting them, improbable. Their improbability can only be deduced from the fact that anything similar occurred so rarely among other land vertebrates. But you can't deduce from that fact that it's so improbable that it's a puzzle why it occurred at all.
The high improbability of our own evolution may actually make the alien-tinkering hypothesis less likely because it makes aliens less likely. If the evolution of intelligence is highly improbable this would substantially lower the factor f(i) in the Drake Equation, helping to explain the Fermi Paradox.
Another point to consider is that evolution often doesn't follow neat statistical distributions. Rather it exhibits leptokurtism, wherein one improbable changes often makes other otherwise improbable changes more likely to occur. Once one improbable change occured, functional synergy and the exploration of uncharted evolutionary territory made the others more likely to follow. The leading candidates for the first improbable change that triggered the others are bipedalism, monogamy, and nakedness, not vocal chords or brain size increase, which are known from the fossils to have occured much later than at least bipedalism. Thus I conclude that the HAR1F changes, most likely implicated in brain development, were probably a late set of changes in human evolution made possible by some earlier improbable genetic changes.