Republicans have taken the first steps to fulfill their promise to repeal ObamaCare in the Senate after making it the centerpiece of four straight elections. A new poll from Quinnipiac offers some mixed signals on their plan, but clearly shows that Americans want it at least partially dismantled. On an all-or-nothing question, it’s an even split, but not when Quinnipiac breaks it down:

American voters are divided 48 – 47 percent on whether President-elect Donald Trump should support efforts to repeal Obamacare, the 2010 Affordable Care Act (ACA), according to a Quinnipiac University national poll released today.

In a separate question, 18 percent of voters say Trump and Congress should repeal all of the ACA, while 47 percent say repeal parts of the ACA and 31 percent say Congress should not repeal any of the ACA, the independent Quinnipiac (KWIN-uh-pe-ack) University Poll finds.

Republican voters say 86 – 13 percent that Trump should support ACA repeal, while Democrats say 78 – 17 percent he should not. Independent voters are divided as 44 percent say Trump should support ACA repeal and 49 percent say he should not.

In other words, there’s a virtual tie in the binary choice, but two-thirds of Americans want some parts of ObamaCare repealed rather than “fixed.” That’s true in almost every demographic but two — Democrats (33% for repeal some or all) and non-whites, where some-or-all repeal still edges out no repeal 49/45.

Clearly, Republicans have a lot of support for rolling back ObamaCare, but much will still depend on what replaces it. If the GOP puts Paul Ryan’s “A Better Plan” into place, which keeps some of the more popular reforms included in ObamaCare without the mandates, it should deliver a political victory as well as a successful fix of what ObamaCare broke.

Some of the other findings in this Q-poll are even more surprising. Even while Donald Trump’s Cabinet nominees have backed away from “Muslim registries” for incoming immigrants, that gets 53/41 support overall, 52/41 among independents. However, voters are very skeptical about de-regulation when it comes to corporate America, with support only at 39/51. That question is asked rather oddly, though; respondents were asked whether Trump should “remove regulations on businesses and corporations,” which implies a total removal (which no one suggests) rather than a decrease. Both of these still show that the nation’s political energy remains in populist movements, which may make parsing out policy over the next two years an adventure for the Trump administration and the GOP-controlled Congress.