Alan Reinstein Ban Asbestos Now Act of 2018 This bill amends the Toxic Substances Control Act to require the Environmental Protection Agency to: (1) identify and assess the importation, sale, and uses of, and exposures to, asbestos; and (2) impose requirements that permanently eliminate the possibility of human or environmental exposure to asbestos. The bill allows the President to exempt any use of asbestos from the requirements if: (1) the use is necessary to protect national security interests, (2) no reasonable alternative to the asbestos use exists for the intended purpose, and (3) the use of asbestos will not result in an unreasonable risk to health or the environment.