As far as I am aware though, both versions of the game are identical in terms of content.
It’s a shame you no longer have a Wii, since Skyward Sword will be out soon.
Also, what chewey said about using Dolphin is probably your best bet – if you’ve got bluetooth, you can even get a Wii remote/nunchuck and hook it up. Super Mario Galaxy in 1080p looks amazing.