Why though? It defeats the name 'PRE-WAR Park stroller Outfit'. It's not meant to be some combat swat team uniform. It was a Pre-War leisuring strollers outfit. It's fortunate enough to have survived the war.
Pre-war does mean it was clothing from before the war. That's not to say it can't be worn into combat or repurposed into fashionable armor.
Maybe a bullet-proof vest that can go under clothing?
This would work too, if care were taken that it couldn't be worn under other armor.
Also, let's remember that it doesn't have to make 100% sense--this is a game that allows us to swim in steel armor. I just want to kill legionnaires in businesswear (with some DR/bonuses on par with at least light armor).