He didn't say anything about government coverage. He said to stop tying coverage to employment. Doing the latter doesn't mean we have to switch to government coverage.
Instead of your employer paying you $S salary per year + paying $M per year for the premiums for whatever group plan they use they would pay you $S + $M salary and you would buy whatever health insurance you wanted directly.
Instead of your employer paying you $S salary per year + paying $M per year for the premiums for whatever group plan they use they would pay you $S + $M salary and you would buy whatever health insurance you wanted directly.