Military and Overseas Voting Enhancement Act - Amends the Uniformed and Overseas Citizens Absentee Voting Act to require states to accept and process absentee ballots of overseas uniformed services and civilian voters submitted by the voter to a provider of express mail no later than the day before election day for transmission to the appropriate state election official, as long as the ballot is received within 10 days after the election.
Requires the Presidential designee to reimburse overseas uniformed services voters for the costs of using a provider of express mail services to transmit the ballot to the official.