It may be a case of just having to push the envelope and force the issue. Community mental health centers are often so booked up they will schedule only the most severe people. But - try to get your friend on a waiting list or talk with someone who might provide treatment at a lesser fee. My depression came after he became sober. The reason I ask is because both situations can be stressful.
Recovery can be as difficult as the actual drinking behavior.
People get into patterns they can adjust to with alcoholics. When they stop drinking, different patterns of living with him would be different and that can be stressful. Also - sometimes personalities change after the drinking stops and some people can actually be more pleasant drinking than not drinking. Either way - it is stressful. Otherwise - I suggest getting a copy of the Beck Depression Scale or the Hamilton Depression Scale and taking the test and showing them your score.