what helped me greatly was actually the opposite of silencing what i'd call "the voice".
i'd ask "it" to tell me more.
it helped me to look hard and see what i wanted from drinking. how was i feeling? how did i want to feel instead? what "state" was that drinking supposed to put me in? what was i trying to get away from? what was so terribly "not okay" with how i was feeling?
after that, after i managed to figure out what was "behind" it in a situation, i could wait for it to pass OR start looking for other, new and better ways to deal with myself in whatever place i was in.
in other words, i didn't argue or try to silence, i listened harder and asked "it" questions.
just a different approach.
nothing to do with giving in or fighting things.