Echoing Oberman, the psychiatrist would likely be more sympathetic to an "alternate" belief system than "certified addiction counselors" who tend to be indoctrinated solely in the dominant recovery program. A shrink (an MD) will likely look at a much bigger picture.
All that aside, there is a lot to be said for social support. If he can find a way to navigate around other people's beliefs, he might find such support valuable, even though it's rooted in a recovery program that is not a good match for him personally.