You don't have democracy in the workplace because democracy is inefficient. A company that expends great amount of money and resources on constant political shifting and backstabbing, and that can't present an unified vision on the market will soon get outcompeted by one that has its shit together.

We can tolerate authoritarian regimes in companies, because they're small (relative to countries) and compete in a heavily regulated space. If you want to leave or they fire you, you can generally find a new workplace. Companies play thier game by selling stuff (and doing accounting magic).

On the other hand, when two countries enter fierce competition, it's called "war". People on both sides end up dying. Even a less fierce competition ends up being miserable for everyone. The game has no bounds. And you can't easily quit it and move elsewhere.

That's why we prefer countries to be run with inefficient democratic process - because too much efficiency in a country will make many, many people very miserable.