Universal Health Care should be the available to all citizens in the same way as the police and fire department help citizens. You don't hesitate to call the police for fear that you can't afford a co pay for them to come to your house. You don't worry that your house will burn down waiting for fire fighters because you can't meet your deductible. Having health care is a right that should be treated like other governmental services.
Why would every country want the same health care. There are certain countries that would benefit from being on there own as well as certain countries that would bring all the other ones down. Not to mention that some countries have there own belief systems that would effect there version of different health care coverage's.