For me, talk therapy was not sufficient to get to the core issues. It required a much more experiential type of therapy which addressed all levels of my being. If you find that talk therapy is not sufficient for you, and you want to stop taking medication, I would suggest that you consider other alternatives. It is not necessary that your therapist be a psychologist. My therapist was a licensed clinical social worker. The academic training and title is not what's important. A therapist can only take you as far as they have gone themselves in their own healing!
Personally, I would not see a therapist that was solely focused on pathology! I would only suggest someone who was deeply rooted in human potential and had an understanding of the greater capabilities that are inherent to all of us!