I don't think the dollar is going anywhere at this point. I think it's the Euro that's going to go away in the near-medium term, barring the Europeans doing something to embroil us all in another world war.
But, a lot of that hinges on whether the Trump admin is successful in their bid to 're-orient' the way global business gets done and who has access to US markets and what it costs them for said access. So far it looks like they're well on their way, but that's just IMO.
Put it like this: let's say you have a pile of money to invest and you're a European. What's the sentiment you see when you look around at the big EU industries? What about the cost of energy and doing business in the EU? The EU regulatory climate? How about EU demographics going forward that gives you a leg up when it comes to supplying industry with competent workers?
Now if that same person looks at the US and does all that same analysis, is he going to feel better or worse about investing in the US vs the EU?
I think my hypothetical rich European would bet on the US kicking the crap out of the EU economically if he was objective about it, and I bet I'm not alone in that assessment.