You can't see lasers in space! The laser traces are generated by your HUD using patented Handwavium Laser Trace Detectors.
You'd have to talk to your HUD manufacturer.
It would conveniently reveal the locations of Imperial Hipsters so I can target them more efficiently though.
I'm not sure how this could work in game. My ships computer would need to know who each player was allied with (what if it's all three factions) or limited to ship types, in which case Fed pilotd get them too when flying those ships.
I must prot... Ey? That is brilliant! In the name of tactical awareness, these HUD elements should be calibrated for optimal battle awareness! In a consistent and manufactory dependent manner, we hereby formally request faction military contractored ships, to be colour coded in the appropriate manner, as to avoid any unfortunate accidents in the line of duty!