Do you have health insurance and if so, is it through your employer? If so, I would highly recommend not going to a doctor for this. By having that you are an alcoholic on your record seeking treatment, this likely will be reported back to your employer causing your premiums to skyrocket or even worse.
I would first try detoxing at home if you have family/friends that could keep an eye over you. While severe withdraw symptoms can happen, they are uncommon.
I'd hate to see you be able to fight off the alcohol monster, only to get a double whammy by your employer.