Strengthening the system can hurt though, if it discourages people from voting in the name of security.

And putting in stricter voting controls will not stop people from crying foul. These people aren't working off the facts in the first place, so what difference would it make? If their people don't win they'll call it rigged. If these laws don't give them the result they want, they'll continue to claim fraud until they get enough of an advantage to ensure victory.