The Neo-Darwinians don't have an origin of life model. Neo-Darwinism was a synthesis of Darwin's theory of evolution by natural selection with genetics. It was about fleshing out an actual mechanism behind heritability and variation (two of the three necessary ingredients for evolution by natural selection; the other being selection). It was not about explaining how life started.

The origin of life is very much a speculative area of science. I thought Nick Lane's The Vital Question was an interesting take on how life could have gotten started. I'm not qualified to comment on the validity of the chemistry behind it, though.