I believe you meant to say he's dumb and cowardly, seeing as those are the main traits that are being taken advantage of. Have you heard the man speak? Does that sound like any sort of intelligent human being to you?
And they will not need to "bow" to the US. Contray to media, Europe will weather any economic attacks against them because unlike the US, Europe is not inherently dependent on a single country's economy to sustain themselves. Between themselves as the EU and their growing connection to China, Europe will easily manage to move along even if Trump threatens them and takes action against them.
The US economy, as a major global consumer, relies more on the global economy than the global economy relies on them.