Why are you so caught up in the word “sport”?
I have never heard a hunter say, “I love the sport of hunting.”
They say, “I love hunting.”

You can call hunting murder if you want.
I guess you are a vegetarian, good for you!

It does not bother me at all that you think I am a sociopath. 
Again you have your terms messed up.

See us dumb hunters are not very bright, but calling us sociopaths is not exactly Rhodes Scholar territory either.
Now check me if I am wrong but, a sociopath has an extreme disregard for people. 

I think you need a different term as killing people is not the point of hunting. 
Again, check me if I am wrong, I am going by freshman sociology from 30 years ago, but you may want to go with ‘Psychopath.’ A psychopath is basically a sociopath but with a mental disorder. Perhaps with some violent or aggressive behavior.

Is that what you were going for or did you want to slant more towards cruelty to animals?
Let me know!