By the exertion of his popular appeal, speaking directly to the French conscripts in Algeria on the radio, de Gaulle managed to overcome the rebellion and so eventually to organise Algerian self-government and an Algerian peace. The cost was the exodus of a million white colonists and several attempts at his assassination by rebellious officers.
Moreover, de Gaulle’s grant of independence to Algeria did not bring a lasting peace to that country. The unrecognised power of Islam came into play against what was essentially a secular Algerian revolutionary government, leading to outbreaks of terrible civilian violence in 1992, which were to persist into the 21st century. No one would wish the history of Algeria on the suffering people of Iraq.
See, most people would have ended at:
eventually to organise Algerian self-government and an Algerian peace.
To which everyone else would have responded:
Yay! Let’s do that!