Marriage and Family Therapists for Veterans Act - Revises the eligibility criteria for appointment to a marriage and family therapist position with the Veterans Health Administration of the Department of Veterans Affairs (VA) to require a person: (1) to hold a master's degree in marriage and family therapy, or a comparable degree in mental health, from an institution that is regionally accredited or approved by the VA Secretary (currently, approved by the Secretary); and (2) to have passed the Association of Marital and Family Therapy regulatory board examination in marital and family therapy or an examination for a marriage and family therapy license given by a state board of behavioral sciences (or its equivalent).