The BW1350 and 1354 are the same.
The BW1356 was used on full size trucks which never used the A4LD trans, I believe it is a larger transfer case and would guess that no it wouldn't bolt to A4LD but there may be a tail shaft housing adapter, and you would need to change drive shafts as they would most likely be wrong length.
This is an opinion not facts as I have never tried this swap.
If you are mechanically inclined then look at the Shiftster: Easily Convert Your Electric BorgWarner Transfer Case to Manual Operation! | The Shiftster
They have done most of the hard work.
If you were to mount the shiftster inside the cab and then made a cable and sheath that could twist the transfer case shifter...............
Most that use the Shiftster just use manual hubs and then put the transfer case in 4high during winter months, then lock the hubs when 4WD is needed