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Voters also oppose 64 - 27 percent blocking an increase in the nation's debt ceiling as a way to stop Obamacare, the independent Quinnipiac (KWIN-uh-pe-ack) University poll finds.
American voters are divided on Obamacare, with 45 percent in favor and 47 percent opposed, but they are opposed 58 - 34 percent to Congress cutting off funding for the health care law to stop its implementation.
Republicans support the federal government shutdown by a narrow 49 - 44 percent margin, but opposition is 90 - 6 percent among Democrats and 74 - 19 percent among independent voters.
President Barack Obama gets a negative 45 - 49 percent overall job approval rating, compared to his 46 - 48 percent score August 2.
American voters disapprove 74 - 17 percent of the job Republicans in Congress are doing, their lowest score ever, and disapprove 60 - 32 percent of the job Democrats are doing.
"Americans are certainly not in love with Obamacare, but they reject decisively the claim by Congressional Republicans that it is so bad that it's worth closing down the government to stop it," said Peter A. Brown, assistant director of the Quinnipiac University Polling Institute.
"President Barack Obama enters this standoff over the budget with an edge over Congressional Republicans in the voters' eyes."
American voters trust President Obama more than Republicans in Congress on a number of issues:
63 - 26 percent on helping low income families;
51 - 38 percent on helping the middle class;
47 - 38 percent on handling health care;
47 - 42 percent on handling the economy.
Voters are divided on the federal budget deficit as 43 percent trust Obama and 42 percent trust Republicans. On gun policy, Republicans get 45 percent to Obama's 42 percent.
Gridlock in Washington is mainly because Republicans are determined to block any Obama initiative, 55 percent of voters say, while 33 percent blame Obama's lack of skill.
In another question, 28 percent of voters blame Republicans for gridlock, while 10 percent blame Democrats and 58 percent blame both equally.