I want that rock. I think the first thing to do is to make sure that no one runs off with it and there are two groups that we know have the skills to handle it. First it the shisigui that brought it here, so someone needs to distract them. Secondly is the cyan with a mask made out of the stuff. Now the idea of not aggroing the cyan is nice, but there is no way for that not to happen here. We want the rock and that is a stragetic resource and possibly a religious artifact as well. No way he will let us get away with messing with it. Also, considering we just learned about disrupters and this guy has a mask made of pure disruption makes me think we are about to fight someone designed to hard counter our style. I also think he will be very hard to put down as qi just won't work as well on him. Bad times ahead indeed.
If we just focus on one group the rest will act. Treating this like an xcom breach just means there is enough time for everyone to spool up their buff chains, which will make everything else harder or even impossible. I bet the barbs can easily buff each other. I don't think there is any chance to totally take out any group, the cyan and co are too strong without elder support, the Shisigui probably has hidden gaurds, etc. So the best we can do is cause enough choas and distrupt the enemy to allow our side to spool up buffs. Hopefully with enough resistance we can force them to view this as too expensive and flee. We are hugely outnumbered and outgunned (even assuming reinforments don't come) so killing everyone is probably impossible. I think our win condition here is that people run away. Hopefully it ends with us having the rock and a few stragglers from the cloud barbs. Not sure we want to capture the shisigui.
I also worry that Ling Qi will waste time trying to mess with the rock. It is literally eating away at reality by existing, trying to move it without knowing what to do seems like a waste of time and qi. I will vote for secure it, but my hope is that secure means just run interference in anyone else trying to mess with it. I don't actually want her to try and move it or something silly. It requires skill and knoweldge that we do not have. Anyway that is a lot of words to say:
[X] Plan Star Stealing Shenanigans
[X] Plan Strategic Support Stymieing