>A person can likewise not have enough knowledge, understanding, or time to make informed choices for other's survival.
Sure, but surely you'll agree that a body of experts trained and given full time dedication to make the choice will make better decisions than an average person encountering the problem without previous preparation.
> If you trust the state, you should be free to defer to their judgement, as you will be the one to pay the ultimate price if you are wrong. If I trust some other organization, I should be free to do the same.
That brings us back to the original situation, with extra steps. Being unable to make informed choices includes being unable to choose the right source of truth to delegate your choices to. People that can't tell the difference between psychology and psychoanalysis won't be qualified to choose between believing a psychologist or a psychoanalyst either.
> The state's ability to enforce its judgement by means of violence doesn't make it more likely to be correct.
The defining characteristic of the state in this situation is not its monopoly on violence, it's its nature of representing the collective will and interest of the people. A state agency that regulates products is not created to be profitable nor to have any interest other than the wellbeing of the people it represents.
> If I need a medical product that the FDA has not approved, and I'm unable to travel aboard? What I'm I supposed to do? Die like thousands of people before me[0]? Is that just "Tough luck buddy" to you because your ideology is more important than my life and freedom?
It is not a matter of ideology. It is a matter of tradeoffs.
The situation you describe is not strictly impossible, but the number of times a person is able to correctly diagnose its own needs and how to solve them better than a whole professional system is a rounding error, compared to the amount of times people will be harmed by incorrectly believing they know better. Since no system can't solve both of those problems, you have to choose the lesser evil.
You choose to identify more with the person who correctly knows what he needs, rather than with the person that in desperation is fooled into believing an incorrect 'expert'. That's understandable, but its human bias, and you're statistically far, far, far more likely to be the second than the first.