Not entirely in jest.
If you think what a corporation is, it's essentially a centrally-planned economy. Wal-Mart has 2 million employees globally, it's a small country in terms of scale. So maybe the problem the Communists had was not so much the concept, but the inability to manage the system... and maybe well into the computer era, that can be resolved.
The more important point is that this sort of transition would cause an absolutely colossal change in society and economy. A lot of people are bought into the capitalist system ideologically, and especially major shareholders (thus rich and powerful) benefit from it. In the case of the former, ideological beliefs easily last a lifetime, and they will be incredibly hard to shift. The latter are sitting on a colossal societal advantage, and I seriously doubt they are going to let go of that without a huge fight - not least because we would also need to consider wider distribution. It seems very difficult to leave the existing rich with vast ownership - to freeze a massively unequal society and introduce a system where allocation of further resources may lock those advantages in.
In short, this would be a change of decades or generations. If we started tomorrow, I wouldn't bet I'd be alive when it finished.