Your post reminds me of a debate I was involved in about five years ago on divine emotivity (does God have emotions?). I bring this up because hatred is one of the most pronounced human emotions. Hatred can drive people to act in extreme ways. So, beyond the question as to whether God hates is the question "does God have emotions"? I believe that any emotions ascribed to God are anthropomorphic. But you asked specifically about hatred, so...
God's hatred is actually an expression of His holiness. Goes God hate the non-elect? Yes. Why? Because God sees the non-elect as judged already just as He sees the elect as already glorified.
Romans 8:29-30 29 For those whom He foreknew, He also predestined to become conformed to the image of His Son, so that He would be the firstborn among many brethren; 30 and these whom He predestined, He also called; and these whom He called, He also justified; and these whom He justified, He also glorified. (emphasis mine)
The glorification of God's elect is so certain that Paul presents it as already accomplished. This also is an expression of how God views the glorification of His elect, as already done. If Paul can say this about the elect the same can be said for those who perish in their sins (the non-elect). I am not referring to how this plays out in time. While God knows His sheep (and those who are not His sheep) that knowledge has not be made known to us. The gospel is to be faithfully proclaimed until God's flock is complete.
God endures the non-elect for the sake of those elect who have yet to be brought in:
Romans 9:22-23 22 What if God, although willing to demonstrate His wrath and to make His power known, endured with much patience vessels of wrath prepared for destruction? 23 And He did so to make known the riches of His glory upon vessels of mercy, which He prepared beforehand for glory,
