You're quite right. In fact in Matthew 25 Jesus speaks figuratively of separating the saved from the lost calling the saved sheep and the lost goats.
All the evil goats come under God's eternal judgement but the sheep are blessed with eternal life through the forgiveness of their sins.
So I'm not an evil goat, I'm a pure, gentle sheep who would come up to you for a petting and snuggle while you were climbing the mountain. And please note I do so love having fingers run affectionately through my wool. Baaah. Baaaah.