It is his contention that within a universe subject to the second law of thermodynamics (which states that all atomic states become more and more chaotic with time, through a process known as the ‘entropic drift’) the concept that the underbase of living systems is one of evolution to states of betterment is nonsensical:
I don't think it's clear in the least what ordered atomic states have to do with the descent of organisms with modification. Certainly evolutionary change is a "change to states of betterment" only in the loosest possible sense, and certainly not in any sense relevant to atomic states.
I'm sorry but I simply don't see the relevance of the second law to the discussion. Evolution does not proceed by ordering atomic states, but by natural selection and random mutation.
The book cites as contradictions to evolutionary theory the facts that approximately 95% of the human genome is redundant
It's not redundant, it's simply not expressed as proteins. Its presence is not contradictory to evolution; in fact, it's quite consistent with expectations.
and that roughly the same percentage of the human brain is also dormant.
This has never been shown to be true, except when literally true in the case of persons with near-total brain injury.
He accepts that evolutionary processes do take place but only within the context of the overall drift of devolution, evolution within devolution.
This is not consistent with the fossil record, which is a record of the expanding diversity of living things in both directions of complexity over time. Up and down.
Central to Kerner’s thesis in The Song of the Greys is the influence of grey aliens and their tinkering with the human genome as a primary factor in the development of our human species.
How does he know that they're grey? It seems like he's conflating evolutionry misunderstandings with alien abduction claims, none of which have ever been substantiated, and most of which are mutually contradicting.
I have read it and re-read it and cannot fault its logic.
How hard did you try? It seriously took me only like 2 minutes.