It's really a Catch-22. Doctors are afraid of getting sued, so they run lots of expensive tests that aren't necessary. This drives up the price.
If they DON'T order all these tests, and something comes up, they face the possibility of being sued.
So then, the person only pays a small co-pay for a large amount of expensive tests, which get billed to the insurance co. They in turn raise rates... etc etc, until insurance is ridiculously expensive.
As bad as it sounds, I only see two ways of getting around the issue:
1) Making consumers face the real cost, and choose how much they wish to be tested - This seems a bit inhumane, as poor people might get screwed
2) Putting people on the government dole, but setting strict cost limits, or as idiots would call them, "death panels" - Extra cost for the taxpayer, but increases the chances that poor people could be given adequate tests to determine sickness