You wouldn't want that 6sp anyway, it wouldn't do the ALH any favors, and the 02J is a better box than the 02M to begin with.
You didn't say which engine the GLI has, it could be the up-tuned AWP 1.8t same as the GTI and NB Turbo S, or it could be cursed with the 2.8L 24v BDF VR6. The 1.8t if properly cared for will last a good long time (really, possibly as long as any TDI, it'll just use more fuel). The VR6 on the other hand, if it has made it to 200k without puking its chains or filling one of the cam phaser housings with schrapnel, that is a miracle. You could not give me one of those turds. Nothing is fun on a tow truck.
In any case, with minor mods you can make the BEW run right alongside either of those engines. Even with one less gear.