Securing Our Borders and Wilderness Act This bill amends the Wilderness Act to allow the U.S. Customs and Border Protection to conduct the following activities within a wilderness area for the purpose of securing the international land borders of the United States: access structures, installations, and roads; execute search and rescue operations; use motor vehicles, motorboats, and motorized equipment; conduct patrols on foot and on horseback; use aircraft; deploy tactical infrastructure and technology; or construct and maintain roads and physical barriers. Any such activity shall be carried out in a manner that protects the wilderness character of the area.