As far as God or a higher power is concerned you don't have to believe.
I believe in God but I also believe God helps those who help themselves
Turning it over to whomever or whatever is simply a way of letting go.
Some people can do this easily enough and some like myself not so.
It has little to do with being an alcoholic
However if you can learn to let things go easily enough you're less likely to get bent out of shape and pick up a drink.