Unlike many of the other groups, however, Heritage isn't urging people not to enroll in the exchanges. It's concentrating on getting grassroots support to get Congress to pull the plug on the law's funding.
"Right now there's a viable legislative strategy to go ahead and halt the implementation of Obamacare," Holler said. "And we want to drive that as hard and as far as we possibly can. And the town halls are an effort to do just that."
And what does the Obama administration think of all these efforts to interfere with the law's rollout? Not a lot, at least according to Health and Human Services Secretary Kathleen Sebelius.
"I don't think we're going to spend a lot of time and effort trying to estimate who they may discourage from getting health insurance to provide security for themselves and their family," she told reporters on a conference call Monday. "I think it's a pretty dismal effort underway."
The administration does have backup, though. Groups like Protect Your Care will be out countering the Republican efforts, says spokesman Eddie Vale.
"When Republican members are having town halls we will have local people come to them to ask why they keep trying to take away their health care," he said. "When Heritage or Americans for Prosperity are doing their events, we will of course send people out to those."
And Vale wonders about the irony, in particular, of the FreedomWorks card burning effort.
"They're asking people literally to play with fire and burn Obamacare documents while at the same time telling these very same people that they shouldn't have health care," he said.
For the record, FreedomWorks officials caution people not to burn themselves while they're burning their cards.