Nearly 6 in 10 people think the Republicans should work with Democrats to improve the health law.
The GOP-controlled Senate failed to pass a health bill before it left for a summer break last week.
In fact, says the report, the majority of Americans think that health insurance companies charging higher premiums in certain marketplaces will have a negative impact on them and their family, while fewer (31 percent) say it will have no impact.
And by almost 2-to-1, most say it's good that the Senate rejected the GOP repeal-and-replace bill last month. The House Freedom Caucus filed a petition to force a vote if it is signed by 218 lawmakers, which seems unlikely because of GOP divisions and Democratic opposition.
While some have speculated that picking a fight with McConnell is unsafe, particularly because McConnell controls the Senate's agenda, Paul said he didn't think the public feud would deteriorate their relationship or the relationship Trump has with Congress.
Trump has been publicly browbeating Senate Majority Leader Mitch McConnell, R-Ky., to continue trying to pass legislation tearing down Obama's 2010 overhaul. Citing the "reality of the complexity of legislating" and the president's inexperience in government, McConnell said that he found criticism of the lack of progress "extremely irritating". The show of support came from moderates and conservatives.More news: China voices strong protest against USA warship sails in South China Sea
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A large majority of the public disapproves of Trump's suggestion that Republicans "let Obamacare implode" and move on to other policy priorities - 78% of those polled said Trump should do what he can to make the law work.
Just 21 percent of respondents but 49 percent of Republicans want the GOP to continue working on a plan to repeal and replace Obamacare, the survey said. Most of those who say it is a good thing say they do not want the law repealed at all (34% of the public overall), while fewer (23% of the public overall) say it is because they had concerns with the specific bill being debated.
Trump has suggested steps like halting subsidies to insurers who reduce out-of-pockets health costs for millions of consumers. There has been a 9-percentage-point increase in people who hold a favorable view since November.
Kaiser contacted 1,211 adults for this survey from August 1 to 6 via landline and cellphone calls.
Designed and analyzed by public opinion researchers at the Kaiser Family Foundation, the poll was conducted from August 1 - 6 among a nationally representative random digit dial telephone sample of 1,211 adults.