Using Street Fighter Controller for Street Fighter 4 Question

I have one of these badboys lying around. I'm really excited about the release of Street Fighter 4, but I'm wondering if there's anyway I can use it for that game?

I also have a general question if I can use my regular Dual Shock 2 for PS2 games on my PS3 (I have BC).I hear that if I buy an USB adaptor, it will work, but once I start a PS2 game, I don't have a PS button to activate it.

Thanks in advance.

it's meant for PS2. I got it when when the Street Figher Anniversary Collection for PS2 came out.

From the looks of it, it seems I might need to buy a PS3 Hori stick.