I _don't_ want democracy in my workplace. I want to be able to choose a workplace that doesn't offer democracy. Why would you want to remove that choice from me?
I don't want my working life to be governed by what a bunch of other people vote for. I get plenty of that from the real government.
I'd rather have strong and competent management that can make credible commitments. And the mechanism to get there is not ballot boxes, but my ability to walk away from any workplace I don't like. The ability to vote with my feet.
Just like I don't want to eat at a burger place where the other customers get to vote. I just want to be able to eat at Burger King, if I don't like what McDonald's has to offer.
Worker cooperatives are already legal in most countries. Including worker cooperatives that are run on whatever theory of democracy you prefer.