And if the new dial is truly "NOS" its likely doesn't glow any more either. If it's a luminova dial of more recent manufacture, swapping it out would destroy the originality in my opinion. If you must have glowing lume, a watch of more modern manufacture is a much better option IMHO.
Opening this particular case is a tremendous headache. Between that and the potential for damage to the dial and hands when removing and reinstalling, it's a job best left to a pro, but any worthwhile watchmaker should be able to do it easily.