How much legally binding is this order? As far as I know, Craig S Wright is an Australian citizen and he don't need to worry about the court proceedings in the United States. But if the federal judge forces him to appear before him in person and manages to prove that he was lying all along, then the judge will have a lot of respect from my side.
I am not a legal expert, but as far as I know the US and Australia can give a extradition order for his arrest, if they wanted to. The question is, will they go through all that for a minor infringement like this?
It will restrict his travelling if he wants to travel to the US, because he might be arrested if he travels to the US for some reason.
In any way, his legal representatives will fight this extradition order if it was issues, so it will take years to get him behind bars.