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; use motor vehicles and aircraft; deploy temporary infrastructure in response to emergencies; or construct and maintain roads and fences, subject to the approval of the Department of the Interior. Any such activity shall be carried out in a manner that protects the wilderness character of the area.