God doesn't change, mankind changes its relations with God.
You vary from this later in your post a bit. However...
If we see God's "anger" and changing "emotions", etc. as our changing perception of an unchanging God, we can approach this question differently. God is the same. Likened to the difference when the same light either warms or burns.
I think we're still somewhat at variance, but I hope this explains the position that we can view our perceived loss of God's uchanging love as hate, our perceived loss of his unchanging peace as anger.
Actually, it has to do which one of God's attribute you end up facing.
In sin, you face His Holiness, which will deal with you in righteous wrath.
If you confess your sin (1Jn.1:9), then you are dealt with as an erring child, in love.(Heb.13)
At the Great White Throne Judgement, those who are lost will not be dealing with God's Love, but His Justice, since they rejected His Love.
So, it is more then just perception, it is the reality of God's own Holiness that does indeed hate evil and sin, while His Love, loves His Creation.