Earlier quoted context omitted.
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.
Well, the explicit demands of the 1958 coup was to put him in place, and in that sense it did succeed - now, whether or not he participated in the planning of it is basically a mystery, but it does seem plausible (even though there is, to my knowledge, no proof of this) simply on the basis that he was the direct beneficiary of it. Additionally, during the 1958 coup itself he did basically give his support for it in t…