If you want everyone to pay something, we (as you pointed out) have something for that, it's called taxes. And that's what pays for your other "insurance" examples. (And don't bring up auto insurance. I don't have to have it, I can choose to not own a car.)

But by involving private companies you have creates perverse incentives that I have no sway or visibility into.

If we want to socialize health care then lets do that, but lets not introduce a private party middle man that not only disconnects the payer from the consumer but has a government mandated client base of the whole US.

I am opposed to it because it is a horrible individual rights breaking precedent.