Issues with restoring a Mac from a Time Machine backup made on a different machine
If you are faced with a situation that requires you to restore your Mac (Mac OS X 10.6.x Snow Leopard) with a Time Machine backup that was made with a different Mac, you may experience some issues.
When restoring from a Time Machine backup made on a different Mac, users may find issues with graphic anomalies appearing during start-up, a lack of AirPort or Bluetooth, the Magic Mouse System Preference pane may be unavailable, graphics distortions when shutting down, or other issues at start-up.
To help resolve this issue, reinstall the latest version of Mac OS X (Snow Leopard) using the latest Combo Update package, your Mac OS X Install DVD that came with your Mac, or a retail copy of the Mac OS X DVD.
Tip: If you are transferring your files to a new Mac, use the Migration Assistant application instead of restoring from a Time Machine backup. Using a Time Machine backup made on a different Mac can cause issues because it may install a version of Mac OS X that does not contain necessary system files that your new Mac requires. This Apple knowledge base article explains further.