Well I suppose I'll chime in with my two cents (and trust me, that is all its worth!). I have not been a member of Chaos particularly long. Therefore, I don't have as clear a picture in my mind of what the Republic was compared to what it is now. I gather that we are in a period of flux, where things are changing, perhaps for the good or bad, only time will tell. What I can say is that the fact that we are in a period of flux is good from a writers perspective. The Republic on Chaos is mirroring many of the issues that arise in real governing bodies. Great civilization often go through periods of stagnation and decline and they either rise from the ashes or don't. So for me, it is a good sign in that Chaos is doing a good job of mirroring what would likely happen in the Star Wars galaxy supposing it were real.
Now, moving on from that. What I have noticed, and again this is from the perspective of a relatively new member, is that the One Sith are more organized then we are. My experiences in the invasions has been one of being overwhelmed. This could be a byproduct of the One Sith being very popular right now and therefore fielding more people, but I do believe they also prepare better for invasions. I would like to see more organization prior to an invasion and then communications during the invasion on the OOC Republic forums where we can request aid and such. I noticed that with the last Alderaan battle, that was starting to happen and I thought it was a good thing.
That being said, we've got a lot of newer members coming in and if we can get them active I think the membership base could be strengthened. One way in which this might be achieved is more cross-disciplinary missions among faction members. As [member="Torill Holgor"] has mentioned this is being done in small doses, so perhaps we can just try and amplify this. As a Jedi I tend to stick to Jedi specific things, like training padawans, sparring with fellow Jedi and embarking on the Jedi Missions. Perhaps we should start to blend these things together. Whenever a Jedi mission is put into the works, we usually have some criteria such as (2 padawans, 2 Knights or 2 padawans, 1 master). Perhaps it would benefit us to start including NFU in these Jedi based missions. We could have missions where the Jedi are leading military tasks forces, or where the military is in command and the Jedi are tagging along.
So these are just a few thoughts. Again, these are my personal opinions based on the perception of someone who hasn't been here particularly long. Perceptions are admitted biased and therefore perhaps my perception isn't the same as anothers. I am always open to the possibility that I'm wrong!!
On a personal note, I use to do this years ago with a very small group that initially met on Lucasart forums and it was very, very enjoyable. Then the whirlwind of life drew me away from it and I tried many times to come back to it, but never got back into it. It wasn't until I found Chaos that I really began enjoying it again. The people here are fantastic, and rping is fun and challenging, and I just want to say thanks to everyone for doing such a good job! The fact that we have so many people posting here regarding how to fix/help the Republic is testimony to how much everyone cares and how great a group it is!