Paradox

It seems to me that the healthcare issue is ultimately a series of paradoxes:

1. The doctor wants to provide care and the layperson wants care but the costs are typically too high for most people to pay.

2. Insurance companies are for profit agents and most people and doctors want what insurance companies don’t provide (that is, care) and the costs of care are typically too high for people to pay.

Is this right? Doesn’t this mean that healthcare should not be a market venture?