I just noticed this one. There are far too many alleles in the human genome for this to be possible. ie the human race is far too genetically diverse to have endured such a tight bottleneck so recently. (unless of course God has been fiddling with the human genome to increase diversity and make it look entirely consistently as if the most recent human genetic bottleneck is much more distant and involved a lot more individuals)
So what absolute minimum amount of time is required for the present day status of mankind to reach its current genetic diversity from 8 already diversified individuals?