(for what it's worth, I currently work for a company that makes software offering various kinds of secondary insurance, and I've spent the last few months learning about the kinds of things "cancer insurance" and "accident insurance" are for, and it's been an eye-opener)
And as for your car: yeah, liability insurance is compulsory in the US, but it's really painful to be hit by someone who's illegally uninsured. It actually happened to my mom a few years ago—she got lucky, her insurance was willing to pick up the tab, but she could've been on the hook for a lot of money if her insurance punted instead (to be fair, the damage to her car was entirely cosmetic, and her car was still operable, just with a car-sized dent in it).
In Europe this is covered and very rare currently. After the first four years the car need to pass an official exam each six or twelve months. No insurance means that you can't even start the test nor move the car from there except in a tow truck (paid for you). Driving with the test outdated means a fine and after some months your car can be deregistered automatically. It does not worth the trouble.
I hold no ill will towards undocumented immigrants, but there's not much you can do if someone hits you in an illegal vehicle.
Medical expenses -> health insurance
Some drunk driver T-bones you and totals your car -> liability insurance is compulsory
Lose your job and spend a year or two unemployed -> unemployment insurance is compulsory, you get 60 percent of what you made for one year
House burns down and you still owe the majority of your mortgage -> uhg, got us here, we can't afford houses but there is private insurance for that
So even though I pay hefty taxes (or because I do), I still end up much richer than a developer in the US. In theory I don't even need to save up money for retirement, as the general pension fund has me covered (though with the current demographic development I don't fully trust that).
So I probably don't have a good reason to give up my morality of more money. Have been never tempted though.