wall...
I have not verified it (I saw no need to at the time) but I read not too long ago that a mathematician/probability professor at Harvard (an atheist) calculated that it would take 10 to the 430th power years for a mixture of amino acids etc. to produce the first single cell life form, given the complexity of a cell. That is just to get the structure correct, and has nothing to do with making it alive.
To make that more understandable, the article went on to note that the most numerous single item in existence is the electron. There are 10 to the 80th power number of electrons in the total universe.
(I hope I remembered the exact numbers correctly)
You are correct -- 6,000 - 10,000 years is not long enough to see the diversity we see around us.
mlsoft