This is only a guess but I say YES it will work. My reasoning behind this is that when connecting a WiiMote to your PC they all have the same bluetooth name.
edit: Look a this!
As for accessories like the Wiimote and the classic controller (for playing downloaded Nintendo games), this will work no matter what region they are from. However, the Japanese Wii point cards cannot be redeemed on US and European systems. (click)
Rep is appreciated