By 1958, the French Fourth Republic was utterly disgraced and on the edge of collapse. Indochina, Suez and Algeria were disasters which the Republic could not survive, and in May 13 of 1958 the last nail on the coffin of the 4th Republic took form as the Algiers Putsch, in which nationalist Generals took over Algeria, Corsica and were threatening to send paratroopers to Paris should General deGaulle not return to power to bring France to her former glory or something.
But...what if de Gaulle had not returned in 1958? What if he had a stroke, or got into a car crash or a deranged communist or Algerian sympathizer shot him?
If that was the case, we're met with two equally unlikely prospects: the Fourth Republic surviving or a Military Dictatorship seizing France in 1958.
Could a similarly strong figure emerge and prevent France from falling into chaos? How would Europe react?
My opinion is that should the French Algerian Generals try to land paratroopers in Paris as they threatened, that would polarize the French Population and create a strong-anti-military sentiment and an even stronger aversion to the Algerian Wars and the crazed Generals leading it, and any potential civil war would be short-lived and most likely end with the Generals being cornered in Algiers between the Republic and the Algerians.