Unions in America are much more militant and much less cooperative, much more likely to go to zero-sum negotiations than in Europe. They also are far far far more corrupt than unions in Europe.
That's not "just" what is being said. Unions are generally good in the US, but the tactics have aligned across industries. Notably, the teacher's unions, police unions, and often utility unions are horribly corrupt.
That said, I live in North Carolina, where public sector unions are illegal (no state, county, or local agency is allowed to engage in collective bargaining with its employees). Sure, there are things like the NCAE, but in practice they're all completely powerless - aside from creating proposals which the NCGOP will subsequently ignore in favor of diverting more public funds to under-performing for-profit charter schools under the guise of "school choice," the only thing the NCAE really provides to teachers are benefits that the state doesn't. To quote a comment I wrote last January (https://news.ycombinator.com/item?id=29885392):
> There's also another factor at play: in many states, the power of unions is quite weak. E.g. public-sector employees in NC cannot collectively bargain, which is why they're able to get away with paying teachers horrendous wages. Want to strike? Go on ahead, pay your sub for the day (or your contract will not be renewed) and go down to Raleigh, where the legislature will recess and most of them will literally just go home and ignore all the people with picket signs.
If the corporation refuses to cooperate (and this seems to be the norm), the union's only option is to fight.