Really glad your here. Attempts at control drinking sometimes bring people to understand they cant...dont recommend it as it kills people.
I think the disease model is based on what the chemical reaction is once you take the first drink that starts the binge. That might be as starting place. any program that works for you is a good program for you.
I am in AA at this time, and I don't believe in god in anyway I would recognize as fitting the definition....it still works for me.
Just keep reading and posting and work with the things that help you.
You might check out the secular threads.