Sounds prrety damn cool, although I don't fancy having a Psymonkmii popping up when I'm trying to play FarCry (although wouldn't mind it in boxing).
http://play-nintendo.com/news/06100303.html
•The Mii characters do not always feature as the main characters in the games. You can also find them popping up as faces in the crowd. For instance, in Wii Sports, a Mii you made a while ago and had forgotten about might turn up one day in the spectators' seats. - Hisashi Nogami
•To put it simply, Mii Parade is a system that uses the network to allow Mii characters created by many people to mix and mingle. You can line up Mii characters in the "Mii Plaza", but at the start the only Mii characters you will find are those you have created yourself. Over time, however, using the WiiConnect24 system, other users' Mii characters can come and visit. In the same way, your Mii can make an appearance on someone else's Wii, although this won't happen unless the user has authorised it. The user can choose whether or not to allow their Mii to come and go on the network, so the only Mii characters that will appear on someone else's Wii are those where the user has permitted it. - Hisashi Nogami
•You could have a Mii which has come from the other side of the world! -Satoru Iwata
•You could. Your Mii can pop up anywhere. I should point out though, that your Mii will never go missing from your own Wii. - Hisashi Nogami
http://play-nintendo.com/news/06100303.html