As a citizen of a country hit by these tariffs, and which depends a lot on exports there (thus I can't be said to be glad about them), I have to disagree with your assertion. Now, you may be right, so I suppose I'll state my opinion as being that I'm actually really worried that Trump is RIGHT about his strategy, even if he doesn't understand the mechanisms or even if his intent is as you state.
The US possesses the world's largest economy by quite a fair margin - access to sell goods there is what makes or breaks a lot of other country's economies. It is the gold standard of customers to have. Now, most countries put tariffs on trade in the reverse direction (imports from US) in order to protect their fledgling industries from the economic and financial machine that is the United States, not because they're looking to rip the US off.
That said, it is undeniable that since the 70s, nearly every major producer/manufacturer/business has taken big chunks of their business outside of US borders, and it also seems undeniable this was done for two main reasons: environmental law and minimum wage laws which came into effect in the US (and both laws I agree with). Can't have your clothing company paying children pennies per hour and dumping toxic sludge into a river in the US anymore and maintain those profit margins! Who can deny this has not been a MAJOR trend? The problem is that countries like Canada who simply find the optimal customer for their natural resources get screwed as well, but there are plenty of people who DESERVE to get screwed by these tariffs. Go ahead and tell me the real reason all the stuff Americans buy is from Vietnam or China is something other than these companies want to fuck the environment there and pay slave wages. I'll wait.
So what I'm worried about is that these hordes of companies are going to start shifting production back into the US, on whatever scale, and this is only going to widen the chasm between the US and everyone else economically. If the shift is large enough, then even with the price increases from costly local production, and even with automation, there will be enough more well-paying jobs in the US they will win (remember the Henry Ford story?). Trump could have done this for shitty reasons, but I still see if as over aggressively leveraging the US's already huge lead in the world economy,