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Rep. Thomas Massie (R-Ky.) has been a long-time proponent of passing a government funding bill that targets the healthcare law, and was one of 43 Republican members to endorse a bill that would zero out ObamaCare funding.

Such a budgetary measure essentially could lead to a government shutdown, as it's unlikely such a bill would make it through the Senate with the ObamaCare provisions intact.

Establishment Republicans have warned conservatives that a shutdown could backfire on the party in 2014.

But asked by The Hill what he thought of comments made by Rep. Tom Cole (R-Okla.) that it would be a "suicidal political tactic," Massie said he thought the real political peril would be for vulnerable Democratic senators.

"No. In fact, I think if we get this bill out of the House and over to the Senate it'll be political suicide for the Democrats in red states that are up for election in the Senate. That's why I think we should send it over there and let them vote on it," he said.

Sens. Mary LandrieuMary LandrieuCNN producer on new O'Keefe video: Voters are 'stupid,' Trump is 'crazy' CNN's Van Jones: O'Keefe Russia 'nothingburger' video 'a hoax' Trump posts O'Keefe videos on Instagram MORE (D-La.), Mark BegichMark BegichPerez creates advisory team for DNC transition The future of the Arctic 2016’s battle for the Senate: A shifting map MORE (D-Alaska), Mark PryorMark PryorMedicaid rollback looms for GOP senators in 2020 Cotton pitches anti-Democrat message to SC delegation Ex-Sen. Kay Hagan joins lobby firm MORE (D-Ark.) and Kay HaganKay HaganLinking repatriation to job creation Former Sen. Kay Hagan in ICU after being rushed to hospital GOP senator floats retiring over gridlock MORE (D-N.C.) are all running for reelection in states President Obama lost in 2012, and Republicans are planning to make the president's signature health care law an issue in their races.

A recent Pew poll showed that a majority of Americans disapprove of the law, but of those who disapprove, a slight plurality, 27 percent, say lawmakers should try to make the law work as well as possible.

Massie cited a Rasmussen poll in response, released Tuesday, that showed 51 percent of voters support a partial shutdown until the two parties agree what spending for the health care law to cut.