While I'm not particularly sold on the shadowy organisation argument, what the majority of Americans want should be fairly irrelevant to a matter of British law

While I'm not particularly sold on the shadowy organisation argument, what the majority of Americans want should be fairly irrelevant to a matter of British law. One would presume that Americans want possible crimes against them to be tried in their courts, but the purpose of an extradition hearing is to determine whether what the other country wants is acceptable.