Well Battlestar was set in the past not the future. Yes there was a still on Universe, and in Season two TNG UP The Long Ladder, the Enterprise's automatic fire suppression systems shut it down almost as soon as it got started.
Only Tuvok, Janeway or Chakotay probably have the authority to turn off the automatic fire suppression systems even briefly... Although Neelix has an open flame going on in his kitchen and I suppose heating coils are not out of the question in making a still if you don't care about flavour.
Replicated booze has no alcohol.