Oh, THAT will make it more affordable! /sarcasm (as if that tag is needed).
Does requiring car insurance drive up the cost of insurance for everybody?
Well, where you don’t have to have insurance, the individual premiums are higher to cover accidents where the other driver isn’t insured.
But where everybody needs insurance, I guess the companies can make prices a little higher than otherwise, because they know you can’t just say “forget it, I won’t get insurance”. So if the companies can drive their competitors out, they have a captive market, and if they can’t,but can collude with their competitors, they can drive up costs.
But that’s just a price that is higher than the price if your insurance NEVER had to cover an uninsured vehicle.
So in fact mandatory health insurance might LOWER costs since the suppliers wouldn’t make your health insurance pay for uninsured people. Your cost would be higher than it would be with real and complete competition (which includes the right of refusal), but would be LOWER than it is now because the pool of money would include the money from all the people who currently pay NO insurance but still get treated with YOU picking up the tab).