Earlier quoted context omitted.
> I seem to recall the leader of the last republic was De Gaulle. The first leader of the current republic was also De Gaulle. No, De Gaulle created the V republic with a military coup [1]. There were troops all over France, including paratroopers in Fontainebleau at 60km from Paris [0], while the "président du conseil" of the 4th republic transmitted peacefully the power to De Gaulle, to mitigate a civil war. Wikipe…
De Gaulle was called by the president of the 4th republic to counter the military insurgents. De Gaulle had sufficient charisma and status to calm down the military. When the military woke up again in 62 in Algiers, De Gaulle crushed them. You got it reversed.
Additionally, during the 1958 coup itself he did basically give his support for it in the sense that he explicitly said he was "ready to assume the powers of the republic" if asked for (which is what the leaders of the coup demanded be done).