This seems like insanity...
The issue is healthcare costs. Insurance isn't healthcare.
Deciding to what degree it will be subsidized puts an over-emphasis on who pays what, but it doesn't do anything directly to reduce healthcare costs.
In my mind there are two components to healthcare - those issues that are created by our choices/behaviors and those that we have no control over.
The care for the former should have costs for each individual that encourage prevention/healthier behaviors yet are also based on ability to pay so that minor issues don't become major issues that are much more expensive and will eventually be borne by society.
The costs for those things we have no control over such as genetic problems (Kimmels's kid), should be subsidized but medications here in the US shouldn't cost many times what they cost in other countries.
We need to be looking at things that drive the costs of office visits, hospital stays, medications, etc. to astronomical levels. Deciding how to pay for things that are far too expensive to being with puts our attention on the wrong things.
There are have been very insightful previous threads on this topic by people far more informed and insightful that myself that clearly explain why healthcare in the US is not market driven and shouldn't be as long as we choose to be humane.
This discussion on who pays (government/individuals) for insurance seems like arguing over how to arrange chairs on the deck of the Titanic. We're not focused on the right things.