No problem with that! That's actually a great thing, in my opinion. The problem, however would be a government run by any specific group of people with any specific properties other than their abilities. Because otherwise it would inevitably lead to dictatorship, as it has been tried many times throughout the history.
In short:
corporations run by workers -> Good!
governments run specifically by workers/corporations/religious institutions/rich people/etc -> No, please no!
Everyone should be able to participate in running and managing our society.