That's your choice, as represented by the votes of your representatives. Giving to someone in a charitable spirit should not give you any rights over the recipient.
This is just another of the dialetic processes for putting everybody under tight control. The Hillaries of the world force Peter for Pauls care, so Peter is willing to force Paul to do something to keep the cost to Peter down. This way the Hillaries get the Peters and Pauls to push each other deeper into the arms of the State, without getting blamed for the final mess.
There is no choice really. The representatives are not going to turn away people from emergency rooms. Just like they are not going to stop requiring people to have auto insurance. Your original point that a person's health imposes no liability on others is incorrect.