i highly doubt that during the process of transformation towards such a system the whole problem with gobal monopolistic companies backing up their status by influencing politics would simply disappear. Privatization in certain economical sectors like water or electrical power supply has led to very ugly developments at the expense of citizens in a lot of countries around the world.
global monopolistic companies owe their existence to global monopolistic governments. you can't have one without the other. the centralized state is no less causally responsible for the privatized water arrangement operated by a centralized corporation than it is for the socialized water arrangement operated by a central state.