mathboy,

it is generally accepted that US will go out of crash sooner that EU.
First thing that will be done when markets stabilize will be that they will increase the rates in order to stop the inflation.

As soon as the rates raise, same will do the USD.

My only doubt will be that, if USD becomes weaker and weaker and for more time than expected, the patience of China or even GCC countries could finish, and then these countries could take decisions as for instance sell all their USD reserves and change them for a basket different currencies as they think that USD is not a good reserve currency anymore.
If that happens, then USD is dead...

War looking for peace,
is like fornication looking for virginity.