From that history, American Unions have almost always believed that the government and the business owners were out to get them. Also, because the Southern American states have historically been the most anti-union, American corporations have had a much easier time moving from union friendly areas to anti-union areas then European companies.
So, overall union-business relationships in the USA are much much worse then in Germany. American businesses routinely make decisions solely to hurt unions (a good modern example is Boeing which is moving production from Washington to North Carolina, a large part of which is about weakening the union, even though this has made logistics harder), American unions think of management as the deadly enemy.
I think a model more like Germany's where Unions and Businesses tend to work together would be overall much better for both sides, but we're stuck in the current system. It's also not helped that now there is a strong political anti-union movement no matter what the situation (like when Volkswagen wanted to unionize their plant in Kentucky in order to practice business on a more German model local politicians and businesses were strongly opposed even though the actual managers wanted it).