"Republicans in Congress are threatening to shut down the government unless they can eliminate your rights and consumer protections under the Affordable Care Act. You heard that right: take away healthcare or shut down the government. That’s the choice. It’s appalling," the call script reads.

It also charges that the effort would jeopardize the delivery of Social Security benefits and military salaries.

The constituent is then given the option to be connected to the lawmaker's office to "tell him to stop the nonsense and focus on common sense solutions that protect our health care and grow our economy.”

The DCCC is hitting 27 vulnerable Republicans across the nation with the robocalls, including some of its top targets, like Rep. Michael Grimm in New York, Gary Miller in California and Scott RigellEdward (Scott) Scott RigellGOP rushes to embrace Trump GOP lawmaker appears in Gary Johnson ad Some in GOP say Trump has gone too far MORE in Virginia.

Democrats are banking on the expectation that the conservative-led push to oppose any government funding measure that includes funding for ObamaCare will backfire if Republican leaders aren't able to find a compromise and the government shuts down.

Polling indicates the public is opposed to Obama's healthcare law — but also to a government shutdown. Democrats believe Republicans would bear the brunt of the blame for such an outcome, and that it could hurt the GOP at the polls in 2014.

Still, unprecedented public backlash would be necessary to bring Democrats within striking distance of the House majority. Republicans hold a 17-seat advantage in the lower chamber, and the House map — as well as the midterm political atmosphere, which typically results in lower turnout and losses for the party holding the White House — is not favorable to Democrats.