(Yay for speedy response here!)
Having played a gunlugger, I can say: in my experience, fighting against 'normals' isn't a question of giving out enough damage, unless they're gangs of heavily armoured folk (in which case either you have AP, you shouldn't be fighting, or your MC hates you). The problem comes from *taking* damage. Everyone's kind of a glass cannon, NPCs much more so, obviously.
So, here's a thought: retask the battlebabe move 'Impossible Reflexes' to something like (just throwing ideas out here)
When you are being cool in a fight and aren't wearing armour, act like a medium gang on defence (or 2-armour).
If you go the medium gang route, then perhaps add 'at the beginning of a fight against 'normals', roll +cool.
10+: Hold 3.
7-9: Hold 1.
6-: take -1 forward.
You may spend a hold to turn your defence to 2-armour resist AP for that round.
But that may be making things too complicated. Depends on your tastes.
You may want to give the move as a basic move to everyone, or not. I mean, Mouse certainly didn't have it. ;)
The idea is it keeps things in the narrative. They *can* do all that jumpy, wall-running stuff, regardless, and as long as they keep the narrative interesting while doing so, they get the move's bonus. It doesn't rely on good dice to get their feet off the ground.
Anyway, they're my thoughts, take them for what they're worth.