The survey seems to indicate that Democrats have found traction with their argument that the recent battle over the government shutdown has been driven partially by GOP frustration with the president's reelection.

In an interview with The Washington Post published Wednesday, Jim Manley, a former adviser to Senate Majority Leader Harry ReidHarry Mason ReidWhite House seeks to shield Biden from GOP attacks on crime issue Lobbying world Warner backing 'small carve-out' on filibuster for voting rights MORE (D-Nev.), said the attempt to link a delay or repeal of ObamaCare to funding the federal budget was "a stalking horse about a larger debate about the president, his agenda and Democratic policies."

By contrast, the top priority identified by Americans for Democrats was reducing healthcare costs, with 24 percent of respondents choosing that as Democrats' number one goal. Creating political trouble for congressional Republicans did come in second, at 19 percent, while 14 percent – the same as for the GOP — selected creating more jobs. 

Of those surveyed, 12 percent said reducing gun violence was Democrats' top priority, while 10 percent chose reducing government debt and 6 percent picked fixing the immigration system.