Anyway I was wondering how come no one questioned that some pothead from artifacts storage is now head of the Institute after Wright died? Why no one tried to argue against it and trying to get the position for themselves?

Well the thing is that to the public it looks like literally every head of the Institute since Jonah himself either mysterious vanished at some point or was found murdered (you cannot take eyes out and make it look natural can you?). The position seems to be cursed. No one wants it. What a fool is that only one person who immediately accepts it!