Military Overseas Voter Empowerment Act of 2001

Military Overseas Voter Empowerment Act of 2001 - Amends the Soldiers' and Sailors' Civil Relief Act of 1940 to provide that, for purposes of voting for any Federal, State, or local office, a person who is absent from a State in compliance with military or naval orders shall not, solely by reason of that absence, be deemed to have: (1) lost a residence or domicile in that State, without regard to whether or not the person intends to return to that State; (2) acquired a residence or domicile in any other State; or (3) become a resident in or a resident of any other State.

Amends the Uniformed and Overseas Citizens Absentee Voting Act to provide for: (1) extension of registration and balloting rights for absent uniformed services voters to State and local elections; (2) treatment of applications and absentee ballots submitted by absent uniformed services voters; and (3) coverage of recently separated uniformed services voters as absent uniformed services voters.

Directs the Secretary of Defense to carry out a demonstration project under which absent uniformed services voters are permitted to cast ballots in the regularly scheduled general election for Federal office for November 2002 through an electronic voting system.