Don't be obtuse. No one's said refit the VAG system.
Most of the tuning of the noise is done on the back box - if you don't like the noise, change the back box.
Don't try telling us that you couldn't possibly change the exhaust either - anyone with a grinder and a welder can make whatever changes they want to an exhaust.
I very much doubt that Milltek use their own custom drawn, uniquely sized tubing for their Golf2 exhausts. If you've not found an alternate back that fits then you've just not looked hard enough. You could always use a reducer or enlarger section in the exhaust, if you can't weld.
Have you spoken to Milltek about the problem? You may well find that they can provide a quiet-pack rear silencer anyway.
Lead matting is definitely not the answer.