I think this is simplifying things a lot. Still, I wish you good luck in continued sobriety. Your mettle will be tested at every national holiday, so summer is a good warm up round for anyone who wants to quit, in my opinion.
I think there is a certain degree of elitism in 'how bad my alcoholism is' that I don't like. Each person has his or her own needs. When it's said alcoholism is a disease, I think it is more meant that it is a physical dependency for some people, which can make it dangerous to quit without medical help. Still, I don't think there's any substance that is impossible to quit. The idea of willpower more comes in from people who think that they can control how much they drink, not that they can stop drinking completely. An alcoholic's brain is often affected differently by alcohol, thus making this a vulnerability. However, a sober alcoholic can always choose not to drink. This is what I believe.