I don't believe that I'm a "New Atheist" but I don't know the term. I agree with your post entirely, and I absolutely agree that the poster you're replying to is being silly.

However, you may be understating the role that religion has in Capitalism. Civilizations depend upon social institutions which inculcate the masses into believing in the basic goodness of its methods and means of production. At least, so far as I can tell living in America. I see Christianity (of a uniquely American strain) as integral to the American assumption, along with the nuclear family, the appreciation of sports, Patriotism, a belief in the moral worthiness of hard work or Ecclesiastical work, a belief in the value of suffering, coveting death, et cetera.

Marx himself had this to say about religion, "The foundation of irreligious criticism is: Man makes religion, religion does not make man. Religion is, indeed, the self-consciousness and self-esteem of man who has either not yet won through to himself, or has already lost himself again. But man is no abstract being squatting outside the world. Man is the world of man – state, society. This state and this society produce religion, which is an inverted consciousness of the world, because they are an inverted world. Religion is the general theory of this world, its encyclopaedic compendium, its logic in popular form, its spiritual point d’honneur, its enthusiasm, its moral sanction, its solemn complement, and its universal basis of consolation and justification. It is the fantastic realization of the human essence since the human essence has not acquired any true reality. The struggle against religion is, therefore, indirectly the struggle against that world whose spiritual aroma is religion.

Religious suffering is, at one and the same time, the expression of real suffering and a protest against real suffering. Religion is the sigh of the oppressed creature, the heart of a heartless world, and the soul of soulless conditions. It is the opium of the people.

The abolition of religion as the illusory happiness of the people is the demand for their real happiness. To call on them to give up their illusions about their condition is to call on them to give up a condition that requires illusions. The criticism of religion is, therefore, in embryo, the criticism of that vale of tears of which religion is the halo.

Criticism has plucked the imaginary flowers on the chain not in order that man shall continue to bear that chain without fantasy or consolation, but so that he shall throw off the chain and pluck the living flower. The criticism of religion disillusions man, so that he will think, act, and fashion his reality like a man who has discarded his illusions and regained his senses, so that he will move around himself as his own true Sun. Religion is only the illusory Sun which revolves around man as long as he does not revolve around himself."

Naturally Capitalism is the greatest offender, but it depends upon Religion, among other things, to make it so that the worker will internalize their external exploitation, and exploit themselves for their ideas.

Edit: tl;dr: Being poorly educated it only just occurred to me that everything I said can be summarized thusly, "Christianity is integral to the American Civil Religion, which is necessary to sustaining American capitalism."

Continuing Edit: Could you elaborate on your point that New Atheism is anti-worker? I believe you entirely but I don't know what you mean.