In common usage, faith healing refers to notably overt and ritualistic practices of communal prayer and gestures (such as laying on of hands) that are claimed to solicit divine intervention in initiating spiritual and literal healing. I looked it up. Divine intervention seems to be the key concept here.
Self empowerment, while it does concern a faith in one's own ability to change harmful behaviour, doesn't seem to fit this definition, Dee.
The point is raised, if alcoholism is a disease, then faith healing and the solicitation of divine intervention would seem to be a curious approach.