Here is an article by me, in NeoConstant: Journal of Politics and Foreign Affairs, setting out some of my thoughts as an atheist conservative. 

Extract:

I am a convinced law-and-order conservative, an eagerly practicing capitalist, an ideological libertarian. I accept enthusiastically the whole package of US Republican Party policy and sentiment – pro-America, pro-victory in Iraq, pro-gun, anti-abortion (with sensible reservations), pro-death penalty, pro-tax cuts, pro-smaller government, pro-spreading democracy and freedom throughout the world, pro-Israel, anti-welfare – all except one of its usual ingredients: belief in God. I do not accept God.

Quite simply, I cannot believe in God. I am old, past my three score years and ten, and decade upon decade I have read and listened, and there cannot be much that is old or new, famous, terse, verbose, smart, innocent, insidious, widely published or commonly uttered, learnedly debated or popularly discussed on the subject of God that I have not read or heard. Because religious beliefs have been a hugely important factor in our history and the shaping of our world and time, I have long been deeply interested in how and why religions begin and develop. I have pondered well the better pro-God arguments but have found none that will do. Not one. The very lack of proof of God’s existence is a fair argument for his non-existence if one needs to produce such a thing.