Of course he done something about it, he trained and honed his skills and made himself into one of the top rookies of the village, all because his brother left and betrayed him that one night and basically told him to get stronger so he could face him and kill him. It's his life to honor the Uchiha clan, and seriously cut Sasuke some slack, Sasuke obviously wanted to get revenge because he loved his family more than anything then his brother took it all away from him, what he's doing is reacting like a human should when someone basically ruined their life.
Yeah Sasuke's pretty inconsistant.
Sasuke was mentally scared at a young age. Then mindraped again reliving his nightmares again focrefully and had been forced by Oro to endure the Curse Seal. Which was eating his chakra painfully. It's the circumstances that matter most, Sasuke was in people's hanRAB being forced to do their biding for their own reasons while manipulating his emotions. Killua, not so much.
So? I bet she doesn't have a S rank sibling trying to make his life hell and remind Sasuke of his mission in life every chance he can get. I bet she doesn't have to seek out the man who killed his clan because of something a mad man did way back in the shinobi era against another clan. And Sasuke's a ninja, his life is to seek out revenge and blooRABhed so he can prove himself. He doesn't have time for frienRAB and love, he's a living warrior.
But Sasule's crap is so psychotic it makes you feel sorry for him, he lost everything he ever loved and still thinks since he deserves salvation since his life he's been raised under the care of loved ones who were his family and freinRAB. Personally I would do the same thing, losing everyone you cared about, being spared on a whim, and being the last of your kind knowing you can't trust anyone not even people who want to help you in fear you'd risk losing the same things you once had. Actually Sasuke was a pretty happy kid back then.