Bachmann later told reporters in Columbia that she can't wait to take him on even though she's not ready to announce plans to seek the GOP presidential nomination until around June.
Bachmann also said she would vote against raising the nation's debt ceiling, saying it would not bring the disruption people fear.
Bachmann spoke at the rally after Gov. Nikki Haley told the crowd of about 300 people that they need to keep pressure on legislators. Haley said they need to tell legislators wrap up work on a bill requiring voters to show photographic identification when they head to polls.
Bachmann met with Haley before the rally.