I'm gonna go out on limb here.
I can't be the one to judge who believes in God and who does not.
I had a daily working realtionship with a God of my understanding for almost 6 years. Then I went back out drinking. Then I no longer had a realtionship with God for another 4 years. During that period of 4 years -
I worshipped money.
I was very lustful indeed.
I knew very few reactions other than rage.
I was very hurtful to anyone that crossed my path. Especially if I was having one of those "bad buzzes". I tried to hurt people and get into fights.
Now for the fellow with 32 years of sobriety, I was the type of man that you have said is not one of "God's pepole".
If it were left up to you, would you leave me there to die in my illness of alcoholism? Would you have to had seen where "I was coming from"? Would you have seen me like a certain religious man had seen me on the side of the road bleeding, beat up, and dying - and then would you have left me there thinking that I was someone not worth you're time to help? Or would you have been the "Good Samaritan"?
I can tell you exactly where I was coming from - "HELL".
I'm thankful that others in the fellowship didn't let their personal feelings about the spiritual value of a new man or woman get in the way of stretching out the hand of AA when it was needed. I am thankful that the men and women in this fellowship did not say "We need to decide if you're one of God's people" before they cleaned up my wounds and put me on their "horse", and sent me to a place where I could heal (the rooms and their homes), and offered me their money and food to survive when I had none. To me that's all part of the spiritual toolkit that lead me to a life worth living.
To me that was carrying the message by example, and not by design.
Plain and simple, I can't judge a man's heart, or his relationship with a Power greater than myself. Even that carpenter fellow you talk about said it something like this:
"It's not the folks that are well who need a physician. It's the ones who are sick."
He also said something like this:
"Let the man among you who is wiithout sin cast the first stone."
I have no business whatsover thinking that I know enough about right or wrong to decide who is or who is not "God's People". If I've done the third step, then it's not even any of my business. My only business is to make sure that I don't have the log in my eye when I'm trying to help the fellow with a little sliver who happens to be one of God's kids that has the illness of alcoholism.