Find an interface from an indentical hard drive and replace it. Don't know what that'll do to the data on the hard drive so I suggest you get that off first. If the connectors still "connect" then you'll just have to use some tape to keep the cables attached until you're done copying off all the data.
Of course, if you connect the power supply and not all the connectors connect, you might just destroy the interface and the motor entirely.
So if the data is really important to you, you'll want to contact a data recovery company about now.