I didn’t hear any reference to 1/6 but I did hear the reference to the Second Civil War, and that it was a fight over competing ideas of freedoms and rights.
And that, might actually come to pass.
The reference to 1/6 was visual, via (likely) actual footage of the protests from that time with picketers showing signs such as “audit the vote.” Pike calls it the fight over competing ideas on freedom and rights, or the second civil war, which then became the eugenics war, which became WWIII.
The eugenics war was when Khan Noonien Singh was using illegal gene therapy and selective breeding to create a master race (eugenics) and was forced into exile from the Earth for that. The trek fan wiki covers references to WWIII and the Second Civil War from other star trek series (Enterprise, DS9, TOS, Picard). I don’t know how much of that is true, though; I don’t remember all those references, just the KHAN! of TOS ep and ST movie fame. It’s just there for you to read, if you want.
https://memory-alpha.fandom.com/wiki/Second_Civil_War
https://memory-alpha.fandom.com/wiki/Eugenics_Wars