Not when the rest of the world has NO money either with which to buy even cheap American goods. Or any goods from anywhere. A dollar crash crashes the rest of the world with it. Barter will become the sole viable channel of commerce of any kind. Baloney! You are overstating and misrepresenting the point of the article. A worldwide currency collapse is not what the article states is the cause for the dollar's fall. The dollar falling, according to the article (a point I am neither endorsing nor denying), has to do with a switch to another currency in preference on oil markets. So while the dollar is falling, another currency is strengthening, right?
"So while the dollar is falling, another currency is strengthening, right?"
Only for a very brief period till the falling weight of the dollar drags it down in a crash of its own.
A dollar collapse is so heavy no efforts to support it can succeed. Other currencies will shoot up against the dollar but because global economies are so interwoven, also apart from oil, the collapse becomes like a black hole sucking ever other currency into it and also virtually every other economy.
The survivors are those who grow their own food, weave their own cloth and can somehow need very little medical care. Barter becomes the final arbitor.
Unfortunately, as one of my friends remarked on this, if you hit people with a sledgehammer of truth and reality - as in this case - fear will make them reject you and the facts behind the premise.