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Another problem with your question is that it focuses just on the United States where most jobs aren't even unionised. BMW, Mercedes Benz, and Volvo are all unionised in their country of origin. 95% of all schools in Finland are unionised and they churn out the best students in the world.

Furthermore, nobody here knows what qualifies as a world leading company to you. That's your opinion. General Electric, UPS, all of America's major professional sports teams, Safeway, Budweiser, Coors Brewing Company, Carhartt, are unionised. You don't consider Boeing a shining example of success because they take government subsidies. But that's really besides the point because they make great planes for countries all across the world where they do have to compete. They're a world leader. Non-unionised companies have to compete with companies that are unionised when it comes to a worker's pay and benefits to get the best workers.

But like I said before, the premise of your question is ridiculous.