One example I've had is: Player one works in a junior position at the major corporation. Player two is their boss. Player one spouts something along the lines of "Dirty Mixer trash." Later, player two call player one into their office and reprimands them for insulting Mixers.
I'd like to see the divide become much more real and tangible. Have more ambient SIC chatter, insulting one side or the other. Perhaps see the WJF cracking down on Mixer activity topside, and on the other side of the coin, Mixers being much more violent towards Corpies who brave the Mix.