Since I wasn't involved in the plot as a Kusari faction leader (not that I have a major problem with that, I was busy with rl and I'm kinda new to leading a faction), I have to say I have no idea what will happen with Dragons and GC and FA and Hogosha and all the factions within Sirius since the Shogun has changed.
Shogun is one of the key persons in Kusari, but I want to wait and see what will happen with rest of the stories and will someone actually contact me for any opinion of my own.
As for the Dragons, they have always had a noble goal and will continue to be ignored / receive donations from Kishiro| unless developers have something else in mind.
As for the GC and the woman's rights things, that's all up to the Emperor, not the shogun. Although shogun can petition the emperor for more woman rights, that's not why the shogun got installed there. he's a war advisor, not a domestic problem solver.
As for current Kishiro| stance towards women, the women have full job opportunities all the way up to management to work for Kishiro, and as for the GC, I hope they will stay hunted as they were. The Cardamine use, and the violence is what distracts the young Kusari women and lures them to ranks of GC while they could have had a proper job in Kishiro. Along with the GC being a nuisance in Kusari, the Kishiro has no desire to open the negotiation doors with them, unless they're ready for rehab, and gun control.
note that, again, this is Kishiro's opinion, and any developer / igiss words will alter these easily.