Clearly, the debate left things unsettled, because the protagonists are still arguing. [update: Betsey Stevenson contributes noise to the debate.]
The point that I would like to hear shouted from the rooftops is that the minimum wage in the United States is just barely effective. We teach in freshman economics that a price floor is only binding if it is above the equilibrium price. But looking at the number of workers covered by the minimum wage is small, and knowing that the vast majority of unemployed workers are not clamoring for minimum-wage jobs, I would say that you should draw your labor supply and demand diagram with the minimum wage just epsilon above the market equilibrium. It should be hard to see the effect of the minimum wage on employment in your diagram, and it should be hard to see the effect in the real world.
In that sense, Elizabeth Warren is right–if you really want to have an effective minimum wage, it needs to be a lot higher. That is what the debate should focus on, in my opinion. What would happen if we raised the minimum wage by $5 an hour or more? In that case, if somebody wants to try to argue that the effect on employment would be negligible, good luck to them.