Here is my perfect one to use with Mario Kart Wii with the Wiimote on the XBOX 360 controller:
[Profile]
Device = XInput/0/Gamepad
Buttons/A = `Button A`
Buttons/B = `Trigger L`
Buttons/1 = `Shoulder L`
Buttons/2 = `Shoulder R`
Buttons/- = Back
Buttons/+ = Start
Buttons/Home = `Button Y`
IR/Dead Zone = 20.000000000000000
IR/Relative Input = True
IR/Up = `Right Y+`
IR/Down = `Right Y-`
IR/Left = `Right X-`
IR/Right = `Right X+`
Shake/X = F
Shake/Y = F
Shake/Z = F
Extension = Nunchuk
Nunchuk/Buttons/C = `Button X`
Nunchuk/Buttons/Z = `Trigger R`
Nunchuk/Stick/Left = `Left X-`
Nunchuk/Stick/Right = `Left X+`
D-Pad/Up = `Pad N`
D-Pad/Down = `Pad S`
D-Pad/Left = `Pad W`
D-Pad/Right = `Pad E`
Options/Battery = 100.00000000000000
To use it, just enter it into notepad then save with .ini extension, and save into Documents/Dolphin Emulator/Config/Profiles/Wiimote.
[Profile]
Device = XInput/0/Gamepad
Buttons/A = `Button A`
Buttons/B = `Trigger L`
Buttons/1 = `Shoulder L`
Buttons/2 = `Shoulder R`
Buttons/- = Back
Buttons/+ = Start
Buttons/Home = `Button Y`
IR/Dead Zone = 20.000000000000000
IR/Relative Input = True
IR/Up = `Right Y+`
IR/Down = `Right Y-`
IR/Left = `Right X-`
IR/Right = `Right X+`
Shake/X = F
Shake/Y = F
Shake/Z = F
Extension = Nunchuk
Nunchuk/Buttons/C = `Button X`
Nunchuk/Buttons/Z = `Trigger R`
Nunchuk/Stick/Left = `Left X-`
Nunchuk/Stick/Right = `Left X+`
D-Pad/Up = `Pad N`
D-Pad/Down = `Pad S`
D-Pad/Left = `Pad W`
D-Pad/Right = `Pad E`
Options/Battery = 100.00000000000000
To use it, just enter it into notepad then save with .ini extension, and save into Documents/Dolphin Emulator/Config/Profiles/Wiimote.