Maybe you think of hatred as something that american so called "hate groups" are propagating. God's hatred is
not of such nature. God's wrath (hatred, anger) is holy, real and revealed from heaven "
against all ungodliness and unrighteousness of
men, who hold the truth in unrighteousness" (Rom.1:18). Or as it is written:
Psalm 5
[5] The foolish shall not stand in thy sight: thou hatest all workers of iniquity.
You see here? Not only iniquity in and by itself but the men who work such. Take notice that the reprobates who will not repent and believe the gospel, the wrath (not love) of God abideth, remains, on such souls.
John.3
[36] He that believeth on the Son hath everlasting life: and he that believeth not the Son shall not see life; but the wrath of God abideth on him
There are several more scriptures which indicates that God indeed does have hatred against men, against real people. What is counted among the things which God
hates are "A proud look, a lying tongue, and hands that shed innocent blood, An heart that deviseth wicked imaginations, feet that be swift in running to mischief, A false witness that speaketh lies, and he that soweth discord among brethren" (Prov.6:17-19). Body parts! Those things spoken of here are all seated on the bodies of men!
So it appears that God's hatred is not just against sin itself, it is also against impenitent and proud sinners. Sinners who are condemned to soul and body to destruction in hell, by God. Let noone therefore be drifted away into sophistry (such as "God loves the sinner and hates the sin") but rather keep on with what the word of God says about the matter
even if they have a hard time of understanding it and it does not seem to "make sense" to their own understanding.