There is convincing evidence that natural selection does occur. However, to believe that natural selection is the only, or even prime, mechanism driving evolution is as much an act of faith as it is to believe in a supreme consciousness driving it.
On the one hand, there's a lot of controversy in scientific circles about whether natural selection can be said to be the prime mechanism driving evolution. But on the other hand, at least natural selection can be demonstrated, unlike a "supreme consciousness."
And there's no controversy concerning whether all species on Earth share common ancestry.
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