This linked article collects short pieces on the reconciliation of religion and atheism:
After God: What can atheists learn from believers?

The title is a bit of misdirection, as it’s not suggested that atheists can learn anything useful from what believers in religion may tell them. Rather, the main subject is ways in which the lives of the godless can be improved by elements of religion.

The backlash against the blinkered aspects of the “New Atheists” has in fact been quite blinkered in itself – yes, the NAs may not know every nook and cranny of the theology they are arguing against, and the history of the USSR shows that a (supposedly) godless nation may perpetrate all the horrors of the religious state and then some, but underlying the backlash argument is the thought that, because the NAs deny the existence of God and the spiritual, they are obviously wrong, and any specific citings of St. Augustine are more for the sake of form than necessity of argument.

In terms of cognitive development, both groups are stuck at certain points analogous to those which children pass through. The religious are at the stage of believing that morality comes from authority (i.e. murder is wrong because God forbids it/it’s against the law), of wishful thinking (willpower and prayer can affect the world), and magical thinking (events occur due to will of supernatural entities, morally-determined providence or karma; non-sentient things have moral qualities).

The atheists are at a later step, where they understand the distinction between the world and the self: the world is distinct from the individual’s mind and body and so cannot be moved by will alone; events in the world are not necessarily directed at them personally by benevolent or malevolent powers; the moral status of a thing or event derives from the judgement of the observer, not the thing itself. From this stage naturally arises disbelief in divine will, souls, magic, ghosts, and moral absolutism (not the same as rejecting morality, but rather understanding that other views may exist).

When it comes to intellectual and moral development, we always imagine that we have reached the final stage. The atheists are a step beyond the believers, but there is another step to take: There is no use in knowing the world if you do not know yourself.

It is a fallacy to attribute religion to religious institutions. Obviously the belief came first. Also, I think that if atheists are honest they will admit to the weaknesses of which they accuse the believers. I’ve observed in myself, precisely due to my desire to be a strict atheist, all sorts of thoughts which are supposed to derive externally from religion or superstition. Have you ever willed a car to start or a computer to work faster? Have you ever prayed to get to a destination on time? Do you believe deep down that certain moral standards are indivisible? Have you ever felt that a dead person was somehow still present?

We all think like this, even Richard Dawkins. From this, I think we must conclude that our minds are mystically inclined, even if the world in which we live is not. This is something that Carl Jung recognised and explored (though I think deep understanding of the situation will have to wait for radical advances in neuroscience). Jung suggested in The Undiscovered Self that being denied overt religious experience would cause mental collapse, but I think the mind is more adaptable: if the idea of God is consciously rejected, something else will inevitably fill that mental slot, be it Communism, nation, family, sports, or even the idea of “nothing” itself (to paraphrase The Spy Who Came in from the Cold, some people go to church, some keep birds, and some join the Communist Party). In a similar way, monotheistic religions inevitably develop a crypto-pantheon of prophets, saints or similar venerated figures, because this fulfills an inherent psychological need.

Several secular religious forms have already been observed: performances of Beethoven’s 9th symphony have long been regarded, not always consciously, as a kind of eucharist, if not a downright ecstatic mass ritual. English literary culture rests on both the King James Bible and the plays of Shakespeare (I recently watched a documentary in which an actor talked about audiences speaking Hamlet’s soliloquy along with him, which certainly has something of the church about it, and elsewhere the extended analysis of the play texts was nothing less than hermeneutics). In the U.S.A., the national Constitution is revered on a par with the Ten Commandments. In Russia, the great novelists are regarded as something like national prophets. Experiences like childbirth and mountain-climbing have been called “spiritual” by people who’ve never given thought to the condition of their souls. None of these have been accorded the overt recognition given to the institutions of religion.

(Should these be called secular religions or secular cults? Technically, because they are smaller, more personal and less externally dogmatic, they are cults, whereas totalitarian creeds like Communism and Fascism were religions.)

Can we consciously establish broad-based secular religions, as Daniel Dennett and Alain de Botton have suggested? There are some tricky obstacles to overcome, the trickiest of which is: How can you believe in something which you simultaneously don’t believe? But then, there are plenty of paradoxes in the orthodox religions. They are called “Mysteries“.

First, we must acknowledge what is in our minds, perhaps by a catechism – “I have no soul, and yet my soul is everything. The world has no meaning, and yet is utterly beautiful and profound. Ritual is mere action, and yet it connects me to people, places, and myself. There is no “Good” nor “Evil”, and yet kindness is the greatest virtue, and cruelty the foulest sin. Death is the end, but I feel everything somehow eternally remains. I am an animal – and yet I love, and my mind encompasses the universe.” That’s just an improvised suggestion.

Texts of faith: there is something unsatisfying about religious texts created to be such by an individual. Apart from the problem of personal idiosyncracy being transformed by authority into unanswerable dogma, the work of one person rarely has the richness and sheer size that make older religious canons seem so profound. Whatever the new Bible might turn out to be, it must be complex, and the work of many authors (or an author who contains multitudes).

As for secular ritual, there are plenty of things which serve as ecstatic experiences, but few that offer regular solemn observance, and none that offer forgiveness, acceptance and transformation of pain into transcendence. Perhaps such a thing could not exist until a secular faith is consciously created.

Here is an article in the New Yorker, on belief, atheism, and the populous realms between:

Particularly of interest to me is the discovery of Auguste Comte, a French Humanist who indeed founded a Humanist “religion”, the Religion of Humanity. His development of strict and complex doctrines for priests and rituals seems rather oppressive, and therefore a mistake, but I like the idea of Humanist chapels.

Perhaps if I was rich I would build a Hall of Humanity in the centre of the city. It would be a beautiful space, like a cathedral or a great museum, but warm and welcoming, surrounded by a simple garden and with chapel niches containing statues or busts of great people, each with a plaque describing their achievement. Statesmen and public figures would strive for remarkable feats of altruism and expansion of knowledge, in the hope that one day they too would have a place in the hallowed Hall (all appointments would be posthumous, of course). On the other hand, they would be fearful of ending up in the basement of the Hall, where mass murderers and those who have suppressed knowledge, health and opportunity for the sake of doctrine would be placed (I’m thinking now of Tony Abbott and his war on science (and his Health Ministry staffed by alcohol and fast-food lobbyists)). The lighting here would be dark and fearful, and the smell of the sewer would waft up through vents in the floor. Every religion needs its devils.