According to a recent survey,

... 51% of U.S. adults say it is the responsibility of the federal government to ensure all Americans have health insurance coverage, up from 45% in 2014.

Source: "In U.S., 51% Say Government Should Ensure Healthcare Coverage," Gallup News Release, November 23, 2015, http://www.gallup.com/poll/186782/say-gov-ensure-healthcarecoverage.aspx?g_source=CATEGORY_HEALTHCARE&g_medium=topic&g_campaign=tiles