The robocalls are targeting Sens. Marco RubioMarco Antonio RubioOvernight Defense: Tillerson, Trump deny report of rift | Tillerson says he never considered resigning | Trump expresses 'total confidence' in secretary | Rubio asks Army to kick out West Point grad Rubio asks Army to kick out West Point grad with pro-communist posts GOP establishment doubts Bannon’s primary powers MORE (R-Fla.), Ted CruzRafael (Ted) Edward CruzWhatever you think the Alabama special election means, you’re probably wrong This week: Congress gets ball rolling on tax reform Week ahead: Senators work toward deal to fix ObamaCare markets MORE (R-Texas) and Rand PaulRandal (Rand) Howard PaulHouse bill set to reignite debate on warrantless surveillance Authorizing military force is necessary, but insufficient GOP feuds with outside group over analysis of tax framework MORE (R-Ky.), all of whom have indicated an interest in running for president in 2016.

They're launching along with a standalone website,, where the DNC will aggregate video, tweets and other content from GOP lawmakers who indicate they're open to another shutdown to take down ObamaCare.

Both Rubio and Cruz have signaled an openness to again attempting to dismantle ObamaCare when Congress hits its next deadline to pass a government funding measure, in January.

Paul, however, has previously said he didn't think shutting down the government over the law was a good idea.

The robocall running against Rubio charge that he was "an architect of the strategy that shut down our government and took us to the brink of economic collapse."

"Marco Rubio's shutdown cost our economy $24 billion dollars and his refusal to pay our nation’s bills  risked raising mortgage rates, crashing the stock market and even put Social Security payments at risk," the robocall says.

"And now Rubio is signaling that he’s willing to do it all again in a few months."

It urges listeners to call his office and tell him to "please stop."

All three of the senators opposed the deal that ultimately ended the shutdown, with Cruz citing ObamaCare as primary reason, while Paul said his opposition was due to the fact the deal didn't tackle the deficit. Rubio cited both issues. 

The DNC used their no-votes in a recent fundraising pitch that asked supporters, "Do you think these guys should be president?"