Not all problem drinkers are alcoholics. Though some may need a little help and support to quit, most can do it if they have a good enough reason. In your case, ill health is a good reason. For you drinking = ill health, for me drinking means disaster in every area of my life.
The AA program identifies this type as a hard drinker. This was the type of drinker I always wanted to be. Drinking regularly but without the attendant problems of alcoholism. But lately I've noticed that even this type of drinker pays a heavy price eventually, they die early. All of my contemporary hard drinkers have died.
So alcoholic or not, when your health is threatened it is a good idea to knock it off. Sugarbear has a great idea. Quit for an extended period and see how you feel. You may need a little help to get started, but if after 6 months or a year your health is restored, all booze related problems have gone, and you are happy in your own skin, you will have solved the problem.