Aftermarket Head Unit?
The LCD and Heather controls form part of the whole Tape head unit so if you take this out they wont work.
Its a stupid design however some people leave the standard stuff in and put an aftermarket headunit under neath the steering wheel.
You could try and get a Cupra CD player unit and Facia however not sure if this actually works.
Other option, get a VAG CD changer or an ipod connector.