"Hate the sin but love the sinner" I guess is an extension of "Love thy neighbor as thyself" Or more to the point "Love thy enemies."

Its a very very difficult thing to do. But it is what Jesus told people to do. I try to do that because it is good for me to do that. Not because it is good for the sinner. And as I said before that does not mean that I am for letting the sinner avoid the consequences.

You try to love everyone, in spite of what they have done. But that does not mean they are not responsible for their actions.