Just 7 percent of Republicans chose delay and defunding.
Establishment Republicans have come out strongly against the defunding strategy, arguing that Congress — not Obama — would get the blame for a government shutdown.
The shutdown itself would not actually cut off funding to implement the law; the strategy relies on Obama agreeing to end a shutdown by scuttling the reform law's implementation.
The poll also found that most young adults have a positive view of ObamaCare.
The findings are good news for the Obama administration: Getting young adults to enroll in the healthcare law's insurance exchanges is essential to the new marketplaces' success.
In the Morning Consult tracking poll website, 56 percent of young adults said they either "strongly approve" or "somewhat approve" of the healthcare law.
Thirty-eight percent of young adults — people between the ages of 18-29 — said they strongly or somewhat disapprove of the Affordable Care Act.
Perceptions of the law grew more negative as respondents' age increased.
The administration is hoping that roughly 40 percent of the people who enroll in the law's new insurance options will be young adults. Getting young, healthy people into the system is key to holding down the premium increases that will result from guaranteeing coverage to people with pre-existing conditions.
The poll also found dramatic differences among racial lines. Seventy-five percent of black respondents and 57 percent of Hispanics said they approve of the law, compared with 36 percent of white respondents.
Overall, 49 percent of those surveyed in the Morning Consult poll disapproved of the healthcare law, compared with 44 percent who said they approve.