How do unions work in the US? From what I hear it sounds like members are "employed" by the union and the company is forced to hire workers from the union? Have I misunderstood?
In Europe workers are hired by the company and are free to enter whichever union he or she wants or not to join a union. Usually all workers at a workplace join the same union and form a local branch/club at the workplace. Unions are national and usually there's several different unions organised under one union organiser. The biggest union organiser in Norway have almost a million members (that's one fifth of the population!) across almost 30 different unions. So when push comes to shove they are able to call a general strike and basically shut down the country. That almost never happens though.