They assuredly do not "copy us." Very few other countries care at all about baseball or football. Basketball--invented by a Canadian--has traveled well, and the rest of the world has caught up with the US.
Better luck next time.
I don't think that's accurate. Baseball is quite popular in Latin America and East Asia. (To be fair, only in the Dominican Republic and Japan is it almost certainly more popular than soccer.) Football, admittedly, is not. But volleyball is actually more popular abroad than here, with European countries and Japan supporting professional leagues. I think it's pretty impressive that one country could export three games to the rest of the world (assuming that we count basketball, which was developed and popularized entirely here, as an American export).