Well, we will think as men, but let us get it through our heads: God is not like us.
True, Father, God is not like us.
But we are like God.
"Let Us make man in Our image, according to Our likeness..."
"And the LORD God said, Behold, the man is become as one of us, to know good and evil..."
I see what you mean about Sodom and Gomorrah, but I would still call that hate, because for the Hebrews hate was more of an action, rather than a sentiment. God hates iniquity because he ultimately defeats it, he hates human sacrifice in his commandment to end it, he hates death and destroys it.
Now, it has nothing to do of course with fallen hate. Fallen hate is not a real reflection of Divine Hate. Divine Hate and Wrath and Love are not at all opposed. But there has to be a real reflection of God in man or else what is the faith?
I suppose these are important points to me because we believe that humans are called to be Godlike, and it is in us, with God, to be that way, and so we must say that God is not quite so far away in how he chooses to exist, which is why the doctrine of uncreated energies and the incarnation are so important.