Hi there
In NA we call identify ourselves as addicts and we DO consider alcohol to be a drug. Some people say they're 'cross-addicted' but 'addict' is typical.
Last night one of the guys shared that he had been battling two types of drugs for his entire life and let on that one was alcohol.
I think the point is to find a fellowship where you're comfortable and feel 'at home'. Give NA a try, it CANT hurt!