Finally, I’ve run across an atheist, humanist critique of science that I can appreciate (from the Wikipedia article on Georges Sorel, since I’m too lazy to get the source texts):
Isaiah Berlin identifies three antiscientific currents in Sorel’s work.
Science is not reality
He dismissed science as “a system of idealised entities: atoms, electric charges, mass, energy and the like – fictions compounded out of observed uniformities…deliberately adapted to mathematical treatment that enable men to identify some of the furniture of the universe, and to predict and…control parts of it.” [1; 301] He regarded science more as “an achievement of the creative imagination, not an accurate reproduction of the structure of reality, not a map, still less a picture, of what there was. Outside of this set of formulas, of imaginary entities and mathematical relationships in terms of which the system was constructed, there was ‘natural’ nature — the real thing…” [1; 302] He regarded such a view as “an odious insult to human dignity, a mockery of the proper ends of men”, [1; 300] and ultimately constructed by “fanatical pedants”, [1; 303] out of “abstractions into which men escape to avoid facing the chaos of reality.” [1; 302]
Science is not nature
As far as Sorel was concerned, “nature is not a perfect machine, nor an exquisite organism, nor a rational system.” [1; 302] He rejected the view that “the methods of natural science can explain and explain away ideas and values…or explain human conduct in mechanistic or biological terms, as the…blinkered adherents of la petite science believe.” [1; 310] He also maintained that the categories we impose upon the world, “alter what we call reality…they do not establish timeless truths as the positivists maintained”, [1; 302] and to “confuse our own constructions with eternal laws or divine decrees is one of the most fatal delusions of men.” [1; 303] It is “ideological patter…bureaucracy, la petite science…the Tree of Knowledge has killed the Tree of Life…human life [has been reduced] to rules that seem to be based on objective truths.” [1; 303] Such to Sorel, is the appalling arrogance of science, a vast deceit of the imagination, a view that conspires to “stifle the sense of common humanity and destroy human dignity.” [1; 304]
Science is not a recipe
Science, he maintained, “is not a ‘mill’ into which you can drop any problem facing you, and which yields solutions”, [1; 311] that are automatically true and authentic. Yet, this is precisely how too many people seem to regard it.
To Sorel, that is way “too much of a conceptual, ideological construction”, [1; 312] smothering our perception of truth through the “stifling oppression of remorselessly tidy rational organisation.” [1; 321] For Sorel, the inevitable “consequence of the modern scientific movement and the application of scientific categories and methods to the behaviour of men”, [1; 323] is an outburst of interest in irrational forces, religions, social unrest, criminality and deviance — resulting directly from an overzealous and monistic obsession with scientific rationalism.
And what science confers, “a moral grandeur, bureaucratic organisation of human lives in the light of…la petite science, positivist application of quasi-scientific rules to society — all this Sorel despised and hated”, [1; 328] as so much self-delusion and nonsense that generates no good and nothing of lasting value. In essence, something of a Romantic like Blake, Sorel would say, “the artist creates as the bird sings on the bough, as the lily bursts into flower, to all appearance for no ulterior purpose.” [2; 196]
Above quotations from:
-  Sir Isaiah Berlin, Against The Current: Essays in the History of Ideas, London: Pimlico, 1997
-  Sir Isaiah Berlin, The Sense of Reality — Studies in Ideas and Their History, London: Pimlico, 1996