Alcoholism - and addiction in general - is as much a symptom as it is a disease. That is, there's a root cause that triggers / manifests as addiction.
Making alcohol less accessible doesn't cure anyone. It simply kicks the can on to some other means to find relief.
Put another way, "maybe we shoild raise taxes?" is the wrong question. The better question is, "why are more and more people in so much pain that they need substances to make life bearable?" Playing the sin tax card is a nice political maneuver but it's a societal train wreck.