It wouldn't make sense for Americans to stop believing in the dollar most likely... but if they were to do so, I'm sure those insurgent terrorists would find out exactly what military might is backing the dollar in short order.
Also, don't see how it would be the case that Americans or others lose faith in the dollar? Imagine tomorrow that it is revealed that the most core systems in the financial and banking industry were hacked 10 years ago and have been extensively manipulated by, say, Goldman Sachs. Or Walmart. Or whoever. Basically, any bank who says "there are 2 billion dollars in that account" fundamentally can't prove it. What then? When Walmart says 'we made $5 billion last year' and the rest of the world says 'prove it, and no we don't trust your funny-money IT systems'... what do we do then?
Also, don't see how it would be the case that Americans or others lose faith in the dollar? Imagine tomorrow that it is revealed that the most core systems in the financial and banking industry were hacked 10 years ago and have been extensively manipulated by, say, Goldman Sachs. Or Walmart. Or whoever. Basically, any bank who says "there are 2 billion dollars in that account" fundamentally can't prove it. What then? When Walmart says 'we made $5 billion last year' and the rest of the world says 'prove it, and no we don't trust your funny-money IT systems'... what do we do then?