Will power wasn't enough for me either. And most alcholics have above average will power as you will find out if you ever try to stop one from drinking. But in respect of alchol, my will power was of no use. It failed utterly.
The solution was to get the needed power elsewhere. I have gone from being unable to not drink, to not even thinking of drinking, not matter what life throws at me. The basis was a complete change of personalty, a different outlook, different ideas, a new approach to life. A good therapist may be able to get you on this track over a few years of therapy. I used a different method which proved much faster. My life had changhed for ever after a few months of following some simple suggestions.
After the first few days, will power, or the lack of it, was not a factor. The desire to drink was removed, completely and I found myself on a completely different path.