I'm not that poster, but there's a really easy fix: Just model the system after Hong Kong's.
There's a tax-funded public system available to every citizen, so that everybody gets treatment. In practice, this is mostly utilized by the poor, and for emergencies like broken bones. You can see specialists via the public system, but there can be a wait of weeks to months. This is all effectively free. You'll never see a bill, or the bill will be extremely small. (e.g., $100 for four days of inpatient care.)
There's a private system for those willing to pay. This is unrestrained capitalism with little regulation and no parasitic middlemen. Want to see a specialist right now -- like later this afternoon, or first thing tomorrow morning? Sure. It'll usually be $200 or $300 out of pocket. No insurance necessarily involved. Diagnostics are also super fast -- same day or next day, usually. If you want an elective surgery, or if you want a superior tier of care (like a nicer hospital room, better food, more flexibility re scheduling,) you can pay for it privately... And usually without getting insurance companies involved.
There is effectively no "prescription" system. With very few exceptions for narcotics and certain stimulants, if you need a drug of any kind, you can buy it OTC. This includes steroids, weird nootropics, viagra (lol at needing a prescription for this), and all kinds of stuff. This vastly reduces the burden on the system.
Hong Kong's system is superior in every respect, and it's especially better at treating you like an adult. The American system is simultaneously complex and infantilizing.