Addiction and Faith: the 12 Step Programme

The 12 steps which form the backbone of Alcoholics Anonymous only mention alcohol once, but God features four times, along with references to a higher power and spiritual awakening. But what does that mean in a country like Britain, where only around one in three people say they believe in God? Can the 12 steps work without a religious faith? And on the other hand, if a higher power is so central to recovery from alcoholism, why are there so many Christians with addiction problems?