When I said most of America, I meant it. It's fifty seven percent of America. [1] Are you going to put them all on Medicaid and take their houses? I thought you were arguing for private cover :) This is the kind of thinking that pushes up costs. Creating barriers to seeking care early makes everything more expensive as the longer you wait, the more it costs to resolve.
Let's be rational about this. The US median individual income is $39,336. [2] Your take-home pay would be approximately $2614 per month after tax assuming you save nothing toward your retirement. Taking out $800 leaves you with $1814. The US median rent is $1500 per month [3]. This leaves you with $314 for food, gas, transportation, electric, water and sewer combined. And this is the best possible case: you're single. Then you want them to handle a $5000 deductible?!
[1] https://www.cbsnews.com/news/most-americans-cant-afford-a-50...
[2] https://en.wikipedia.org/wiki/Personal_income_in_the_United_...
[3] https://www.prnewswire.com/news-releases/us-median-rent-hits...
Since you also suggested in a different thread that it'd no longer be tax deductible, that $5000 would drop immediately to $3000 or less -- $250/mth. That's still dancing on a razor's edge.
Your key metric of "cheaper" and "more available" and "better utilized" is provably solved with a socialized model. There's no active private care model that outperforms one of the OECD socialized models, or else you'd have at least mentioned it by now. Instead, we keep revisiting unsubstantiated ideological libertarian talking points. I've got real world implementations to support my theories.