Somehow gain the allegiance of some faction in the military, stir up large resentful mobs throughout the rest of France, while somehow managing to run into a large amount of money... or perhaps money first, then mobs, then soldiers... or money first then soldiers, then mobs.
Then through a combination of force of numbers, and a small solid core of actual soldiers, gain control of most of France. After that, with a lot of cash, a lot of good ideas, and the continued support of the French lower classes, perhaps the leaders and ideas of the Paris Commune last a couple of decades. Before they end up altered beyond all recognition and spiraling into a seemingly never ending pit of chaos and despair.