Actually, the government plays a small part already in how high-tech companies share equity with employees, through preferential tax treatment for Incentive Stock Options. You could imagine many such nudges that could be employed to expand capital ownership short of distributing equity to employees "by force".
Remember in general that the limited-liability corporation as an institutional type is itself a creation of government - the notion of a business as a separate entity with distributed owners such that the business can go bankrupt without allowing creditors to go after the non-business assets of the stockholders is an artificial and relatively modern invention with a large and complicated legal structure buttressing it. C Corporations, LLCs, LLPs, PCs and the like are all creations of government and the way they operate in practice is non-trivially shaped by the ways those laws are structured. Is it so outlandish to imagine an alternative form with a deliberately egalitarian bias (an "E Corp"?). It only takes one state experimenting to make it a reality!