You're absolutely right that there are definitely some people who want a 6th republic but do not vote or agree with LFI, but for the sake of generalized conversation like we're having now they're mostly irrelevant. If it were to happen, it would be through him and his "vision", and as such I maintain my critics.
Beware of what you want for you might just get it.
I am probably not the only one.
Just believe that the country is "ripe for it" because of repeated abuses of the, exceptionally large for a western democracy, presidential powers.
But people have been dissatisfied with that ever since the last constitution was enacted. Including, famously, Mitterrand, who despite his many earlier criticisms (describing the 5th republic as "Le Coup d’État Permanent" [1], which could be translated to "The Continuous Coup") was prompt to fully enjoy those powers once elected himself.
So it’s quite old.
[1]: https://fr.wikipedia.org/wiki/Le_Coup_d%27%C3%89tat_permanen...