I think Kakashi is too much of a universally liked character to be hated, no matter how many bad things he did in his childhood. We know he bullied Yamato and most likely led to Obito's turn to darkness but the guy had his reasons! Having your father commit suicide and the whole village hate the White Fang he had understandable reason to be a bit of an prick, we know this already.
Although what we've seen of Obito has been entirely from Kakashi's perspective that doesn't mean that Kakashi intended for this to happen. After all- after the morals he taught team 7 and the love he had for his sensei, obito and Rin, the way he feels personally responsible for Sasuke. We know Kakashi is an honourable ninja now and we love him that way. Nothing bad he says could change the ninja we know now.