Depends on how you try to set up the new drive. If you just install the drive and try to install the OS on it ...then the wireless keyboard and mouse will not work as they are USB powered and the driver files for USB is not installed til after the OS has been installed.
Now if you set it up as a slave drive and then transfer the OS and everything then it will work that way..I don't recommend it as I prefer to have a clean install on a new drive.