Servicemembers and Veterans Initiative Act of 2020 This bill establishes the Servicemembers and Veterans Initiative within the Civil Rights Division of the Department of Justice (DOJ). The initiative shall, among other things serve as legal and policy advisor on DOJ's efforts to enforce criminal and civil laws that impact service members, veterans, and their families; develop policy recommendations for improved enforcement of federal law to support service members, veterans, and their families; serve as the liaison and point of contact between DOJ and the military departments; provide counsel for the Office of Justice Programs to ensure that funding decisions take into account service members, veterans, and their families; and enforce federal laws that protect service members and veterans.