How do you feel about EU enlargement beyond Europe

All the talk about Canada joining the EU and jokes about Australia already being halfway in because of Eurovision has made me wonder: How do people feel about EU enlargement beyond Europe? Countries like Canada and Australia do share al lot of history and culture with a lot of EU countries and they, although I'm not an expert on the subject, would have to change very little in regards to rule of law, democracy etc. in order to be viable to join. Perhaps in the future even some Latin American countries could join, assuming they meet all requirements and who knows, maybe even countries like Japan or South Korea.