Consolidation of Grants to Strengthen the Healthcare System's Response to Domestic Violence, Dating Violence, Sexual Assault, and Stalking Act - Amends the Public Health Service Act to reauthorize, revise, and consolidate grant programs that address domestic violence, dating violence, sexual assault, and stalking by developing or enhancing and implementing: (1) interdisciplinary training for health professionals, public health staff, and allied health professionals; (2) education programs for health profession students to prevent and respond to domestic violence, dating violence, sexual assault, and stalking; and (3) comprehensive statewide strategies to improve the response of clinics, public health facilities, hospitals, and other health settings to domestic violence, dating violence, sexual assault, and stalking.