President-elect Donald Trump and Republican leaders in Congress have promised the roughly 20 million who depend on ACA coverage — either due to private marketplace plans or the expansion of Medicaid — will not lose coverage as a result of the anticipated repeal. Some have suggested a "repeal and delay" strategy, in which the repeal of the law does not go into effect for several years as Congress works out a replacement.

The problem in finding a replacement, of course, is division within the party about what that replacement should look like.

Trump has said he wants to maintain certain popular parts of the ACA, including a ban on insurers denying coverage based on pre-existing medical conditions. Meanwhile, Sen. Rand Paul, R-Ky., recently penned a column calling such a promise delusional.

Americans are also divided on what they expect to happen in health care as the result of GOP control.

Most do not anticipate any significant effect on their own care, while 22 percent say their health care will improve and 19 percent say it will get worse if the ACA is repealed. Similarly, 27 percent believe health care will become more affordable, 28 percent believe it will become more expensive and 43 percent say it will stay the same.

A slim majority are either not at all confident (32 percent) or not too confident (19 percent) in the incoming president's ability to lower the cost of health care, compared to 19 percent who are very confident and 29 percent who are somewhat confident that he will achieve what he has promised.

The poll also indicates that 62 percent of Americans believe in "guaranteeing a certain level of health coverage and financial help for seniors and lower-income Americans, even if it means more federal health spending and a larger role for the federal government," while only 31 percent say they want the government to be less involved in health care, even if it means some people do not get coverage.