Alex, it's a great question!!!
7% of the uninsured make over 75K/year - meaning they choose not to get coverage and pay a la carte for their healthcare.
36% income under 10K, which make them eligible for Medicaid, which they choose not to get (maybe they are healthy and don't need it). Some of these people are probably illegal immigrants and should not be here in the first place.
Another 34% income between 10K-20K - which makes some of these people elligible for Medicaid too.
So if people are not concerned themselves to get "coverage", why should the government be??