What School of Philosophy is This? Simply put, I think we already have a process to take moral decisions, called our moral sense. We also have a process to set socially important moral standards, which is called the law. Hamurabi invented the concept a while back. And we also have a theoretically just process to set the law and apply it, called democracy.
It worked for a while, in some places, not too poorly. It was slowly taking root. Of course the failure of the German Weimar Republic to contain the rise of antidemocratic, ultranationalism and racist elements and rhetoric had led to the Nazi accident along the way, but democracy passed that test ultimately.
In the 1990s, with the fall of the Berlin wall and of apartheid, it looked like democracy had finally won. Then a strange thing happened. At the very moment when democracy could have reached new hights, unburdened by external enemies, some of these triumphing western democracies, chiefly the most victorious among them, the US, started to to rot. To get sick.
Washington got gridlocked by technicalities, drained of energy by lobbies, financially burdened by an enormous military system, and yet it was deregulation after deregulation, and tax break after tax break. And the rich became richer and the poor poorer.
And that's how the system was conned, from the inside. Of course Israel manipulated it too, and now so do the Russians and the Chinese...
Democracy fell victim to its own success. For it was only the fear of the alternative (communism, by then) that kept the elites of liberal democracies firmly in the socio-democratic camp, faithful by and large to the ideas of the New Deal. Once democracy (and with it, capitalism) became victorious in the 1990s, the political urgency for the capitalist class to keep the working class afloat and engaged in social dialogue decreased. Reagan and Thatcher were just the beginning of it. Now we've come to a state of affairs where democracy is perverted, maniulated and gutted out of meaning by the filthy rich.
It's a classic phenomenon in ecology: species "need" predators, otherwise any new (or old) disease can wipe the whole population out. In this case, the disease is called plutocracy: government by the wealthy, under the guise of democracy.
So if you ask me what we need to do now, I would say reclaim democracy, rebuild it without this corruption, rejuvenate it with better rules, etc.
We don't need your mysterious new process for adjudicating moral claims. We already have one, called democratic law and order. Let's make it work better.
The only question in my mind is how. I believe some democratic revolution à la Sanders is needed but it hasn't fulfilled its promises so far.