시민권 신청시 거절한다고 합니다.
USCIS will deny a naturalization application when the applicant refuses to register with Selective Service or has knowingly and willfully failed to register during the statutory period.
https://www.uscis.gov/policy-manual/volume-12-part-d-chapter-7
덧붙여서 주에 따라서는 운전면허 발급도 거절합니다.