People come here to escape poverty too....and we take in people more readily. We're starting to bring in a ton of Haitians. The difference becomes the fact that even if you arrive here illegally, it's easier to get to stay. In the US, illegal immigrants know that they don't have a snowflake's chance in hell of being able to stay, so they have to take low-paying cash jobs to survive and stay out of Uncle Sam's radar, and therefore have no access to health care.
So it has no bearing on your quality of health care, I'm sure it's just fine, but your immigration policy is so bloody strict it keeps people in poverty and increases the mortality rate. However, if you had a system that provided the same access to medical care to EVERYONE as ours does, it would definitely go down a few pegs in quality. Suddenly you don't have the choice to refuse people daily care because they can't pay for it.