I see where you're going with this. It feels more like a scenario list than a 'normal' list one can take for pickup games - against most of the 40k factions a human population wouldn't 'rise' but rather fight an all-out war, I mean you don't present Necrons with a list of reforms, do you?
It is definitely a gimmick list, and I wouldn't spring it on an unsuspecting opponent for a pickup game. I don't do that with Titan lists either
As for story possibilities, I think they could fit as opponents against any other force; They just represent the poorly-equipped civilians that fight on when the regular army is broken and scattered by the invaders.
For example, a damaged Necron tomb complex wakes up on a backwater agri-world. The human militia base is attacked, taken by surprise and destroyed, leaving the townsfolk and ranchers to defend themselves when the metallic monsters arrive... In this scenario, the "demonstrations" would obviously not be "protesters", but rather represent unarmed
civilians, running around in panic. The Armed Civilians are just that, the Revolutionary is a hero of the moment rallying the populace, and the specialists are desperately courageous individuals, taking up improvised weapons and fighting back against the coming horrors. The Rebel Militia, of course, represents the remnants of the regular PDF.
So if the list is only used to fight against human oppressors (IG variants + rarely the space marines), you should perhaps have rules about enemy 'seeing the light' and defecting to the insurgents cause.
I'm not sure about that. (1) I don't like mechanics that let a player take control of the other players units. I don't like the AMTL Harpoon (thankfully it's in the Collectors section, so I can veto it), and (2) the defections wouldn't happen on an operational timescale, would they? The "rebel militia" and "rebel armour" formations are
defectors, when the opponent is Imperial, but they are assumed to have switched sides before the battle.