Too bad damage can't scale against armor.. That would have been a cool mechanic.
My gals aren't wearing bikinis, the frontline ones are in revenant armor and the support are in mesh. I have 1 juggernaut, 1 loader and 2 hovers for front/mid/rear heavy support.
With good use of terrain, I was able to avoid being shot much, combined with the fact that the cyclops were mostly preoccupied with staring at civilians. When I got hit, I lost a bunch of armor, but never lost any health (presumably because no gal ever ran out of armor?). There were 3 civilian casualties, so they must be doing some damage, but 3 civilians in 15 turns is a very low killing rate (I play on Black Beard, btw, otherwise I find fights get too busy).
I assume Star Gods are scary once you have to deal with multiples of them MCing you, psi-panicking the gals and being their annoying invisible selves. (plus using that beam that ignores armor?!) But in the pogrom I only got one (I am guessing they are the Guild Rep equivalents) so it wasn't too much of an issue. It took a while to kill the cyclops, so they have the right resilience, but it seemed like they were majorly lacking punch for a pogrom. Adding some church neophyte-like little dudes with shotguns to represent the faithful coming to see their god in action could be cool, it would tie the church and the gods.
My following pogrom against the academy was a lot more trouble with the cyberdiscs and acid throwing guns, plus the little drones pewpewing the civilians, and that seemed backwards.