Hatred is a family value. More precisely, it is a natural response of good to evil. It is a psychological byproduct of that interaction. We can no more eliminate hatred than we can eliminate sore muscles or running out of breath. The most we can do is eliminate the causes of it, as we identify them.
The other thing we can do is to understand it and spread understanding. By understanding it, we become able to master it, rather than it mastering us.
Focusing on "hatred" and setting its elimination as our goal would violate that principle. By going to war against an innate, immutable element of ourselves, we effectively shift control over ourselves to that element, and by extension to whomever/whatever can define – or redefine – it for us.
The whole should always rule its parts, not vice versa.
Aside from that, I agree very much with the above posts.