As the aricle notes, May 1968 was not a Marxist uprising. If anything, established Marxist forces are blamed for deflating the momentum of May '68 and, through the unions, simply being content with extracting some concessions for workers.
At that very moment, losing ground, de Gaulle flees France for Baden-Baden to regroup with General Massu. After that meeting de Gaulle decides to resign, leaving the room to the banker Pompidou, much more open to the Anglo-saxon “weltanshauung” that the General spent his life fighting.