If the other guy has car insurance why should I have to have it? He’s already covered is I smack into him.
Because then his insurance company has to pay for his loss and every policy holder of that company then has higher rates, due to an event they had no culpability in.
Again, I'm not sure what your point is but, I'll bite.
When you smack into him, you should have to pay for his loss. But, too many people (the "poooor" especially) were choosing not to be insured; then, when they smacked into people, their victims were left to sue for damages or, cover their own losses, either out of their own pockets or, if they had collision insurance, by filing a claim of their own (which caused their and others' premiums to increase).
Again, if this is supposed to lend credence to the if-auto-insurance-can-be-mandated-so-can-medical-insurance, you'll need to explain how it does that.