Worker owned coops are already a thing in many parts of the world, so examples in the real world can already be used as models. It's not just a theoretical, "on paper" idea that has never been implemented before.
Being worker-owned does not necessarilly mean that everyone gets paid equally. What it means is that there is a democracy in the workplace. For example, imagine if your manager was elected by you and your coworkers instead of your manager deciding whether or not you get to work at your job. Also imagine if you were able to vote on wage increases for you and your coworkers (of course, taking company profits into account. Wages aren't going to appear out of thin air) based on the job position. Generally speaking, people are going to vote for higher wages for people who have a heavier workload/more responsibilities. Currently in non-worker-owned, publicly traded companies, wages are indirectly decided by a board of directors, who then elect the chief officers, and ultimately, who make the decisions for the company.
It feels like an idea that sounds nice until you consider the details of how it would actually work in real life. But I guess that's just socialism in general I guess.
Richard Wolff is a doctor and professor in economics and is an economic historian. He knows what he's talking about. I'd recommend watching one of his talks on his version of socialism, which you can find on YouTube. Here is one of his talks: https://www.youtube.com/watch?v=a1WUKahMm1s
You completely made up this scenario. Not every vote is 50/50, because not every voting system is first past the post. Also, in a system where all companies are worker-owned coops, you have the very real option of just changing jobs and/or reporting your manager if they are acting unethically; there is also the option of just voting to oust that manager and hold a new election for a new manager. In this system, there is no owner class to influence the government to weaken labor protections like there is under capitalism.
Source?
So how has it been working all over the globe? Again, worker-owned coops already exist. The Mondragon corporation in Spain is one of the largest companies in that country, and is a worker-owned coop. There are many examples in the US as well, like Ocean Spray. Just because you don't believe something works doesn't change reality.
Which is why people work together to create a system that makes getting that kind of power impossible, which is the entire point of socialism (especially 21st century socialism as described by Wolff). If you just give up, then the greedy psychopaths win by default. The phrase Marx used is "seize the means of production" and not "just accept that greed exists and let the owner class continue to own the means of production."
Why? So the owner class can continue to have control over our society and continue to push our government towards fascism? No, thank you. Just because you have given up doesn't mean everyone else should.