Sure I think you hate evil as you define it. I dont think you define it the way Christians define it.
we all hate Ax murders, we all hate wanton slaugter of innocents. We pretty much all take a hard stand against guys that kidnap and enslave women, we all take a dim view of a person who gets 4th graders hooked on herion etc.
but as much as that is evil, that is not exactly what God calls evil and there are aspects of what God calls evil that you certainly do not believe to be evil.
So the answers to your three questions are, yes and no... and yes and no... and yes and no....
Exactly!
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Hebrews 13:23 Know ye that our brother Timothy is set at liberty