The poll found Americans across party lines willing to make some sacrifice to ensure that every American has access to health insurance. Sixty percent, including 62 percent of independents and 46 percent of Republicans, said they would be willing to pay more in taxes. Half said they would be willing to pay as much as $500 a year more.

Nearly 8 in 10 said they thought it was more important to provide universal access to health insurance than to extend the tax cuts of recent years; 18 percent said the tax cuts were more important.

“I wouldn’t want to pay a lot of taxes, but if it was spread out and everyone paid their fair share, it would be fine,” said Don Galvan, 50, a computer programmer from Ringwood, N.J., who considers himself an independent. “Everybody should have some kind of medical coverage, in case they or their children get sick. Especially children.”

Most participants said they were satisfied with the quality of their health care, but there was widespread concern about costs. Nearly half of those with insurance said an employer had cut back on benefits or required them to pay more for their benefits in recent years.

A quarter of those with insurance said someone in their household had gone without a medical test or treatment because insurance would not cover it. Six in 10 of those without insurance said someone in their household had gone without care because of the cost.

More people now see guaranteeing health insurance as important than did so at the end of the Clinton efforts in 1996. At that time, 56 percent polled said it was the government’s responsibility to do so, and 38 percent said it was not. In the current poll, 64 percent said the government should guarantee health insurance for all; 27 percent said it should not.

Moreover, an overwhelming majority in the current poll said the health care system needed fundamental change or total reorganization, just as they did in the early 1990s, when a deep recession and soaring health care costs galvanized the public and spurred the Clinton drive.