Games : Can I use PS2-to-WII adapters for Guitar Hero, Rock Band, Dance Dance Revolution?

I just got a Nintendo Wii, and I don't want to have to purchase new instances of all my varied PS2 controllers.

I've got Guitar Hero guitars. I've got Rock Band drums. I've got Dance Dance Revolution dancepads. Like... 6 of them!

...I don't want to have to start over.

Can I buy a PS2-to-Wii adapter and simply start playing Guitar Hero on the Wii, with the same hardware?

That would be best.