The thing which is needed for that is some form of runoff elections, most likely instant runoff. Again the idea of a Voters' Bill of Rights which is sorely needed:
The first item of such a bill HAS TO BE runoff elections or instant runoff elections for all public offices. Nobody should ever fear to vote his first choice, at least on a first ballot, and nobody should ever hold any public office with less than 50% of the vote. There should be no Al Frankens and, funny thing, in South Carolina in 08 you had the exact same situation with a close vote and a third party, and a runoff election two weeks later fixed the problem.
There should also be a None-Of-Above choice on all ballots for public office and if that choice ever wins, then the other candidates should be barred for life from holding any public office and the parties sponsoring them should be barred for at least ten years from sponsoring candidates for that particular office. The penalty for running dead wood for public offices should be severe.
Another item on such a voters' bill of rights should be something which would eliminate voting fraud for all time and if that means getting rid of the secret ballot or at least limiting it somehow or other, so be it, we're paying too high a price for it. Somehow or other it has to be possible to check up on votes when there are questions or evidence of fraud. Or as noted above, you might could split the representation for a district which is nearly equally divided.
There should be a provision that when a president is impeached and removed, his VP goes out the door with him and the office is either vacant until the next election or an emergency election is held to fill the office for the remainder of the current term. Granted removing a president should be difficult but it should not be impossible and if we couldn't remove Slick, we'd not have been able to remove Hitler or Nero either.
What happened in 98/99 was that Trent Lott simply refused to hand the presidency over to Algor with a year to go on Slick's second term, for obvious reasons. The situation should not be possible.
A person should need to be a US citizen for 18 years before voting in a US election. It should not be possible for a rogue political party to rule our land by simply importing large voting blocks for itself.
There should also be some mechanism to prevent utterly unqualified people from holding high offices. Certainly a candidate for president or vice president, or for US Senator or member of the House of Representatives should need to obtain the same basic and simple secret level security clearance which anybody would need to be a guard at the gate of any military base in our land. That isn't asking for much but it would have spared us from the last two democrat presidents.
There are a few other things you'd want but that's the main gist of it. The system is basically broken and in need of repair.