I don't think we've been a bully so much as the rich kid that indirectly paid people to be their friend. I think Trump is accurate in pointing out that many of our arrangements are detrimental to the US on the first level, but at the same time those arrangements, and the unstated threat of their removal, is what gave the US the power to arbitrarily exert its influence. This became even more true as other nations started to take those arrangements as a given and became reliant upon them.

In the grand scheme of things I'm also happy the rest of the world seems to be becoming less dependent on the US. It removes single point of failure scenarios. Economies and nations keeping each other more at arm's reach would help ensure the world acts in a more democratic fashion while simultaneously also providing insulation against the failing of any given nation's poor decisions - be those social, political, economic, or military.