It is interesting how Dickens expresses his disgust for both the luxury of the French aristocracy and how they treat the poor in France of the time, but also his distaste and repugnance for the violent measures that the "patriots" took in their revolution. One direct reference to the three pillars of the French Revolution can be found in the first chapter of Book the Third, which describes some of the changes that have happened in France as a whole after the storming of the Bastille and other events that transpired afterwards:
Every town-gate and village taxing-house had its band of citizen-patriots, with their national muskets in a most explosive state of readiness, who stopped all comers and goers, cross-questioned them, inspected their papers, looked for their names in lists of their own, turned them back, or sent them on, or stopped them and laid them in hold, as their capricious judgement or fancy deemed best for the dawning Republic One and Indivisible, of Liberty, Equality, Fraternity, or Death.
Note here the adjectives Dickens uses to describe these three aspects of the revolution. The revolution is based on "capricious judgement" or "fancy" rather than any other more objective qualities. Most worrying and disturbing, of course, is the way that "Death" is placed after "Liberty, Equality, and Fraternity," suggesting that this is the most important aspect of the revolution that has occurred.