List of Sets: Find Intersecting Sets

You might use Enum.reduce/3 in the following way (untested, but it should work):

Enum.reduce(sets, [], fn set, sets ->
  case Enum.split_with(sets, &MapSet.disjoint?(&1, set)) do
    {_, []} ->  # not a single join, totally alien, appending
      [set | sets]
    {disjoined, joined} ->  # ⇓⇓⇓ here is a trick ⇓⇓⇓
      [Enum.reduce(joined, set, &MapSet.union/2) | disjoined]
  end
end)

The only interesting thing here is that once we discovered all the sets joined the tested one, all of them are to be joined.