Lawful permanent residents [LPR] share with US citizens all substantial responsibilities e.g. criminal liabilities for activities not criminalized for all the other people like per 18 U.S.C § 2423(b)&(c). Handed by Citizenship and Immigration Service to naturalization applicants booklet M-638 “Quick Lessons for the Naturalization Test” states in answer explanation 50 “Permanent residents can vote in local and state elections”.
In 1874, the Supreme Court in Minor v. Happersett noted that "citizenship has not in all cases been made a condition precedent to the enjoyment of the right of suffrage. Yet in fact all states deny LPR’s voting rights . Foreign countries too often deny LPR’s voting rights and LPR’s are found without consular protection from any country when travel on US documents.