Let them pay for the cost of treatment.
I is OUR health system because WE pay the health premiums and contributions. To any unvaccinated idot who wants to stress OUR health system: o.k. - go ahead please - but you will have to cover the costs yourself.
By the way, I am against mandatory vaccination. Because I fully respect the freedom and the right of any unvaccinated person to be an idot and to remain an idiot. But that person should not have the right any more to fly, to board a train, to shop, and not even to put one single foot into a pharmacy.