BW: Generally, I agree with all of your conclusions, but there are several weaknesses in the argument.
TSW: "... the scientific study of biopoesis, which is the process by which life originated from inanimate matter."
BW: I don't think that's the correct term. Biopoesis (or biopoiesis, or biogênese) was a coined word that specifically referred to "process of living matter evolving from self-replicating but nonliving molecules." I'm not sure what were considered self-replicating non-living matter at the time Oparin  coined it, but Dmitri Ivanovsky had discovered a tobacco mosaic virus 50 years earlier and thought it was self-replicating. He was wrong, but viruses were considered the precursors of living cellular bacteria for several decades:
The correct term for the evolution of life from non-living matter is "Abiogenesis".
TSW: "Frederick Engels was among the first to suggest that life originated from inanimate matter."
BW: Dicta from the Federick Engels Fan Club? Two millennia before Engels [1883 AD], Aristotle [350 BC] suggested that life arose from inanimate matter. He was wrong on the details (mainly due to erroneous reports from Egypt), but the presumption was popular for many centuries. Even primitive biblical authors thought Adam was "made from" clay.
It wasn't Engels' idea in any case. In "The Dialectics of Nature", Engels refers to scientific reports "only about ten years ago", probably referring to either Wöhler or Dmitri Ivanovsky, who had both observed that viruses exhibited some of the characteristics of life.
TSW: "... neo-Darwinism, must be considered useless for this purpose because biopoesis is the study of the transition from the nonbiologic into the biologic."
BW: Except that, years before Ivanovsky, Charles Darwin  expressed his belief that life evolved from a "warm little pond, with all sorts of ammonia and phosphoric salts, lights, heat, electricity, etc. present, so that a protein compound was chemically formed ready to undergo still more complex changes"." (See Wiki link on Abiogenesis.)
But, if the Engels Fan Club considers Engels' speculation to be "among the first", or contrary to Darwin, fine.
TSW: "... the only way to preserve finity is to lump all the less important conditions under a singular cause: chance."
BW: Granted, that was one popular view after Darwin's book, propounded by those who discovered that cosmic rays *could* modify DNA, but only "probably" a cause of any particular mutation. That has taken a back seat to many other causes, but many of them are "chance" occurrences. Nothing to do with finity or infinity.
[GB: No. There is no such thing or occurrence as “chance.” Reread the section on the Third Assumption of Science, uncertainty (It is impossible to know everything about anything, but it is possible to know more about anything.) Without our assumption of infinity, that statement would not be true. True to form, you seem to think of this as a mere quibble, but it is essential to the whole argument of "The Scientific Worldview." Your reluctance to dump Aristotle’s “absolute chance” is still typical of today’s indeterminists. With the idealist’s belief in solid matter and empty space necessary for Finite Particle Theory, comes the consupponible belief in absolute chance. On the other hand, univironmental determinism claims that, within what is normally called “chance” or “chaos,” lies an infinity of microcosms in motion producing an infinity of material causes, as assumed in the Second Assumption of Science, causality (All effects have an infinite number of material causes). There is no empty space anywhere in the infinite universe, just as there is no solid matter anywhere in the infinite universe. The word “chance” should be banned from our vocabulary—it is nothing more than observer ignorance.]
BW: Again, ragging on Aristotle, for no good reason. See above.
TSW: "A protein consisting of a chain of 100 amino acids is necessary for life as we know it."
BW: Actually, only 23 amino acids are produced by most living life forms, but they are all "assembled" by DNA/RNA, not by random encounters. Proteins are the *result* of DNA, not the cause of life.
Next: The Origin of Life (Part 2 of 2)