But when the question was posed as to whether they support "Obamacare" - the colloquial term for the Affordable Care Act - support for the law is higher.
Notably, a large majority believe that Trump and the GOP are responsible for any problems with Obamacare going forward.
For example, 6 in 10 Republicans and Trump backers want the GOP to continue its repeal and replace drive in Congress.
So there you have it: Republicans have offered up four takes on repeal and replace and none of them increase the number of insured Americans or keep the same numbers as Obamacare.
The Republican voter must ask his or herself this question, then: Should the party deliver on health care and, in the process, heal the divide between the pro- and anti-Trump factions or stick with the centrist establishment's thumb-twiddling, slash-and-burn to thwart the president and hand the Democrats a huge opportunity? However, most Republicans (61%) and Trump supporters (63%) see continuing plans to repeal and replace the ACA as more important than helping the marketplaces work better (38% and 33%, respectively).
The health law is more popular than ever with 52 percent of respondents saying they hold a favorable view of it. Only 34 percent of Americans agree with him, while 62 percent favor moving on, including 47 percent of Republicans, according to a Kaiser Family Foundation poll released Friday.
The GOP-controlled Senate failed to pass a health bill before it left for a summer break last week. The survey finds that a majority of the public is unaware that health insurance companies choosing not to sell insurance plans in certain marketplaces or health insurance companies charging higher premiums in certain marketplaces only affect those who purchase their own insurance on these marketplaces (67 percent and 80 percent, respectively).
This month's survey also probes the public's views about the Affordable Care Act's insurance marketplaces, which allow Americans who don't get insurance through their employer to shop for and purchase insurance, with tax credits available to low- and moderate-income customers. "I think Donald Trump spoke to the American people during the campaign and that's why he's in office, because they're sick and exhausted of this kind of stuff happening in Washington, D.C., people saying, 'we can't do it, ' well why can't you do it?" Both the random digit dial landline and cell phone samples were provided by Marketing Systems Group (MSG).
The margin of sampling error including the design effect for the full sample is plus or minus 3 percentage points.