What do people with a phobic disorder tend to respond?

Behavior therapy.

Behavior therapy emphasizes current behaviors as opposed to psychoanalytic psychotherapy, which focuses on historical antecedents; therefore, it is most effective in bringing behavioral changes. Therapies, such as systematic desensitization, take patients through a series of progressive images (ie: imagining being in the room with a snake to imagining touching a snake) until the patient desensitizes to the feared object.