My usual response to those brothers:
The context of Psalm 5:5 is the behavior of the wicked. Of course God has a holy and righteous anger and hatred for the sins of the wicked. If you want to generalize that He therefore hates the individuals with an ABSENCE of any type or degree of love you have to support that argument without equivocation and using "systematic theologic logic."
“Aha!” you may say, “God loved Jacob and hated Esau before they had a chance to do anything…therefore…” But we have to look at the context. As a theologian once said, “A text without a context is a pretext for a proof-text.”
According to Romans 9:11 the context of 9:13 is election. What do the elect have and what will they experience? They have redemption and will experience ultimate redemption when they are returned to the One who paid the price for them. God’s love for Jacob is a certain type or degree. His love for Jacob is to the degree of “redeeming love.” The hate that God has for Esau is the absence of that redeeming love. If you assert (like the Arminian) that God’s love/hate has to be equally distributed to all men (the same kind, type, degree; all or nothing) without any freedom of choice on God’s part, you must prove that without equivocation and using “systematic theologic logic.”
When John uses the word world/kosmos in the first three chapters of his gospel it is the word for the created world including its inhabitants. I understand that context determines the use but to jump back and forth from “world of the elect” to “world of the reprobate” in such a short space seems illogical and untenable to me. “For God so loved the world…” It is incomprehensible love for God to enter His own creation to save anyone. For someone to say that “world” only means the “world of the elect” or means that only when their hermeneutic calls for it is equivocation and they have just stepped off the foundation of explicit biblical statements into the realm of “systematic theologic logic” in order to support their preferred system.
"What is this "systematic theologic logic" you speak of," you may be asking. It is this: willingness to ignore context, reinterpret passages, and equivocate on words to support a system of theological interpretation.