Depends on whether its an original handmade or a later 'Laser-Trimmed'. The LT will have 'MBII' stamped deeply across the back of the top and it came with a transparent bite insert with 'DG' behind it. If you have a LT, its worth about $400 in nice condition. Add $1000 to that if it is an original. So either way, you don't want to break the plating on it with a reface.
#1, it'll probably never play th3e same again, and #2, you'd be better off selling it and getting something else.
As far as even a LT being 'the same' as a Berg, Level Air or Dukoff, that's buell shiite. DG's mouthpieces had their own thing, even the LTs which were usually only a tick away from being as good as the hand-finished.