In summary: Rights are abstract things. For example, you have a right to bear arms. So does this mean we need a taxpayer-funded government program to...provide you with a gun?
You could use a variety of metrics, as mentioned in the article. I think the most telling one is patient satisfaction. The point is that there are many quantifiable metrics by which Americans have better health care than citizens of socialized-medicine nations.
The main metric by which our health care system is worse is cost. So if you want to fix a real problem, focus on costs. Access is not a real problem.