You can't have government run universal healthcare system and a bipartisan solution at same time.
If the starting point is Obamacare than there will never be a bipartisan solution. The core concept of Obamacare was developed to achieve the ultimate goal of single payer and as long as that core exist, freedom loving taxpaying American citizen will never voluntarily hand over their healthcare to central government.

Repeal Obamacare and then come together and a develop a truly bipartisan healthcare/health insurance plan. 
There that was simple.