I'm not so sure that Zuesse's argument is correct. He does support his argument by furnishing data, but I think he is drawing the wrong conclusions. Permit me to argue for another interpretation.
The data suggests not that the American people hold contradictory views on government administration of universal medical care, but they, consciously or not, do not want the government of the ruling class to administer it. They have already experienced the government's administration of Social Security and Medicare, and they don't like it for quite rational reasons: poor service and/or benefits because the administration of these programs are deeply biased to prevent ordinary Americans from receiving benefits, frequently they reward privately owned insurance corporations abundant opportunities to enrich themselves, and experts like Allen Smith argues that much of the funds of the Social Security Administration are "borrowed" to cover government deficits.
... the truth about the trust fund has been kept from the general public for the past 30 years. Every dollar of the $2.7 trillion in surplus revenue generated by the 1983 payroll tax hike was embezzled by the government and transferred to the general fund. As the government spent the Social Security surplus money, the actual money was replaced with IOUs, which the government calls “special issues of the Treasury.” The public has been led to believe that the IOUs are real bonds, just like the marketable Treasury bonds held by China, and our other creditors. But the IOUs are not at all like the marketable Treasury bonds. They cannot be sold or used to pay benefits. They represent only an accounting record of how much Social Security money has been spent on other things.Corporate media is flooded with reports emanating from so-called taxpayer and ruling class sources who do no want government funds be diverted to helping people. Instead they want government funds used to enrich themselves which means billions for weapons, support for war policies which require weapons production, and crumbs for the poor. You will rarely find articles posted in corporate media that reflect criticisms of users of government programs. Instead, you will find them in alternative, independent websites that the ruling class is trying to limit via their control of giant internet corporations like Google, Facebook, etc. You must search out and find critical articles from independent websites such as the following: Shock Therapy: Perfect Storm, Seniors Need To Be Tenacious In Appeals To Medicare, In Time for Christmas: A Social Security Plan Only Scrooge Could Love, Social Security: The 14th Amendment and “Odious Debt”, and Social Security in the Great Jambalaya.
Ordinary people need help from the ravages of ruling class government, but they won't get it from a government controlled by the rich and powerful ruling class. Only a government controlled by the people and for the people can accomplish this.
Left-liberals such as Zuesse frequently criticizes government policies, but cannot overcome their well-educated mindset that has been formed through so many years of capitalist indoctrination in capitalist ruling class-controlled schools.