Every person who would be affected by the redistribution of wealth would have a voice. With influence equal to anyone else's. Also, no one says it has to be an immediate redistribution of wealth. This internet forum would be a source of just judgement, so redistributing the wealth wouldn't be hard.
First action is to destroy advertising's effects. Revealing scandals behind corporations and exploiting those weaknesses can reverse their effects from advertising. Reducing corporate profits is the best way to fight them. You wouldn't even need to legislate a good portion of the distribution if you start with the money in the economy.