2006 A3 DSG - steering wheel upgrade paddle shifters
 

My 2006 A3 is a real stripper and did not come with paddle shifters for the DSG, which is a shame.
I bought a 'shifter' 2007 a4 s line sport steering wheel. Photos attached.
It did not come with all the internals.
Can I use my 'internals'?
If not, what parts do you need to get to make it work on my A3?
I have full VCDS (I assume softcoding will be required).

Current steering wheel:
https://drive.google.com/open?id=1so...8B-1BrwodSDtUk

New 2007 A4 S line wheel:
https://drive.google.com/open?id=1hH...4-g5zFQJJ_hBVr
https://drive.google.com/open?id=1_O...nQeuOECSs_sigl