With Dawkins you're certainly putting up a straw man by calling him determinist.
From the guardian.co.uk
Harris'work revealed him to be an economic determinist and, as such, ahistorical.
From the en.wikipedia.org
As a historical determinist, Brecht curiously calls for a needless martyrdom.
From the time.com
If Skinner's determinist theory is right, he is merely the focus of his environment.
From the en.wikipedia.org
On the other hand, a hard determinist utilitarian see no problem for moral responsibility.
From the en.wikipedia.org
This reflected his view that Marxism was not a determinist philosophy.
From the en.wikipedia.org
Conventional politics is, by contrast, clearly stuck in a 17th-century determinist time-warp.
From the newscientist.com
At first, the customary mixture of history, allegory and determinist philosophy seems absent.
From the time.com
Critics have called Wilson a reductionist, a determinist and worse.
From the time.com
More examples
Fatalist: anyone who submits to the belief that they are powerless to change their destiny
(determinism) (philosophy) a philosophical theory holding that all events are inevitable consequences of antecedent sufficient causes; often understood as denying the possibility of free will
Determinism (specifically causal determinism) is the concept that events within a given paradigm are bound by causality in such a way that any state (of an object or event) is, to some large degree, determined by prior states.
(determinism) The doctrine that all actions are determined by the current state and immutable laws of the universe, with no possibility of choice; The property of having behavior determined only by initial state and input
(Determinism) The teaching that every event in the universe is caused and controlled by natural law; that there is no free will in humans and that all events are merely the result of natural and physical laws.
(determinism) the assumption that every event has physical, potentially measurable, causes. 34
(Determinism) the doctrine that all events are the inevitable result of antecedent conditions, and that the human being, in acts of apparent choice, is the mechanical expression of his heredity and his past environment.
(DETERMINISM) The theory that examination of one or more definable factors allows for a complete explanation and prediction of the characteristics of society or the individual. ...
(DETERMINISM) Everything that happens has a cause. For every event in the universe, there is a set of conditions such that if the conditions were repeated, the event would be repeated. All events are lawful because they are predictable. ...