Voter Protection Act of 2005 - Amends the Help America Vote Act of 2002 concerning: (1) requirements for voters who register other than in person with an officer or employee of a State or local Government entity: (2) removal of registrants from voting rolls for failure to vote; (3) use of Social Security numbers for voter registration and election administration; (4) synchronization of State databases; (5) incomplete registration forms: (6) requirements for submission of registration forms by third parties; (7) voter rolls; (8) return of absentee ballots; (9) identification requirement; (10) identification at the polls; (11) payments for free photo identification; (12) authorization of appropriations; (13) counting of provisional ballots; (14) applications for absentee ballots; (15) pilot program for use of indelible ink at polling places; and (16) various criminal penalties.