Is there some verse that says that God cannot hate something while at the same time loving it. Did not God love us while we were yet sinners? And while we were yet sinners were we not in open rebellion against God? And while we were in open rebellion against God, did not God hate us?
It seems to me that you are limiting God's sovereignty by stating that it is impossible for God to both love and hate something at the same time. Indeed if God is omnipotent, can he not both love and hate at the same time? Can he not extend his Love toward us while He still views us in a state of sin and thus an abomination to his eyes? Is he not powerful enough to do that? Is his sovereignty limited to only loving or hating?
I don't have to reconcile the problem. The scriptures state that God loved the World (not some little portion of the World) and that he loved us while we were yet sinners.
Anyone who claims that it is impossible to love something and hate it at the same time has never played golf.
LOL!