I doubt the wii and 360 versions of a game work together or will ever work together. I know its fairly common to own a wii and a 360 though. Lots of people have both. They're somewhat different experiences and I think you'll enjoy both in different ways.
Wii Sports is good clean fun till you get bored of it. It's always fun to show people when they're new to the wii though.
Super Mario Galaxy is easily the best game on the wii. The farther I play the more I enjoy myself.
Haven't played MOH myself, but people here seem to like it.