Alcohol is a powerful inhibitor of gluconeogenesis. In fact, it forces part of the gluconeogenic metabolic process into reverse. This means that if all the glucose in the blood is being derived from gluconeogenesis then the consumption of alcohol will inevitably cause the blood glucose level to fall. Additionally, the alcohol also stops ketone body production, thus leaving the brain entirely without fuel.
A person who is ketotic is 100% reliant on gluconeogenesis to maintain adequate levels of glucose in the blood. If, under these circumstances alcohol is taken, the person will become disorientated and might lose consciousness, not just from the alcohol, but from low blood sugar. Needless to say, this could be very dangerous, and even fatal.
In short, the message here is: do not drink if you are on a low carb diet, including IDEAL PROTEIN. You are deriving your glucose from fat burning and your glucose levels are adequate for your body to function, but you have no reserves. Hypoglycemia will result. If your blood sugar falls rapidly, you could pass out, or worse!