The term psychoanalysis refers to the Freudian school of psychology. This means an interpretation of one's psyche through theories like the Oedipus complex, wish fulfillment, death drive, pleasure and reality principles, the unconscious registers (ego, id, superego) and the stages of psycho-sexual development (oral, phallic, anal, etc.). Lacan later revises Freud's work to develop the mirror stage as well as the three registers of the unconscious (imaginary, real, symbolic). Therefore, you did not psychoanalyze McDermott. If you want to use Freud, I suggest The Future of an Illusion, which discusses the religious development of primordial man and implications on the contemporary or western civilized psyche. Otherwise, just state the psychology of McDermott instead of psychoanalyzing McDermott.
Anyway, you need some data to support this seemingly tenuous connection between faith and decisions on the football field. As many point out, people of faith can be very data driven with decisions.