I understand where you are coming from. The point I was making though was that when we can find no other reason for crimes such as these we take the easy way out and say it was caused by hate. Then we go about trying to educate people in an attempt to rid them of that unjustified hatred of certain groups. Education does help if the hate is based simply on ignorance.
The trouble is that by jumping to the conclusion that it is hate based without real proof we could be overlooking a far more dangerous and harder to spot killer. The one that has no feelings about the people they harm. some people will kill for the joy of killing or just because they are bored. They do not hate anyone, but they have no feelings for them either.
Education does not help with this type of person.