It would also mean that it's impossible to gain power in goverment by money or by owning "things" (factories etc.).
Afaik historic greek democracy was more like that. People got into goverment by lottery. If you were chosen, you had to attend a 2 year training and then your spent 4 years in goverment.
It's called sortition[1] and I think it'd be a wonderful method of choosing the 2nd house in a bicameral legislature like the UK's. Imagine replacing all the lords and bishops who've been placed there by heredity or backscratching with people chosen by sortition. That'd really hold the elected politicians to account.
For example, working in certain positions of government for a few years can often land very lucrative jobs in finance companies like Goldman Sachs. There is a corrupting influence of finance companies on government civil servants to sway legislation towards the companies by hinting they will be rewarded later for it by employing them later in senior positions.
A way to limit this corruption is to ban government civil servants from being able to take private jobs after their service.
I would advocate separating capitalism from goverment. But thats equally unrealistic as church/gov separation was 200 years ago.