I can't tell you the answer
But what I do now is that we're not different at all
We both turned out the we did because of what we experience
You experienced the death of your loved ones and betrayal of your brother
I experienced the hatred of others, blaming me for killing their loved one.
Our past revolves around the death of our village
We can't change the past but we can change the future
I couldn't be like you because I didn't know the reason why they hated me
But you, you knew that your brother kill them, and you hated him for that
So your revenge is killing your brother, and even though mine is nothing like yours, my revenge is getting them to recognize me and not the beast that lives inside of me. Get them to feel guilty for all that they did to me in the past.
Your goal is to prove yourself to your decease family and my goal is to prove myself to those who misplace their hatred on me.
We prove ourselves by killing the one who killed them in your case, and in mine I'm proving myself by being Hokage, because being one mean that you are the most respected in the village.
In my mind we are not different, we are the same, we are both orphans that want to prove that we exist in this world.
I know that this might not answer your question, Sasuke, but this is my reply.