seems like its an education or media-bias problem more than a healthcare problem.
If a majority of the poor in America are not educated enough to understand how public healthcare will benefit them and the country, or are educated enough to understand but not educated enough to realise media outlets have a politcal agenda and might not be reporting accurately, then public healthcare is still not going to happen.
(and they might not want socialism, but it seems like they dont understand that democracy has problems too. and healthcare is the living example. but again, it circles back around to being educated enough to understand that democracy is good, but it isnt perfect, and no system is)