As of now, you can for example get animal hides by killing boars in a fight. I cannot say anything about chickens, however, since they are damned hard to hit.
Indeed, and it is nice. Makes sense. So they can do it. Now do it for every relevant things.
We just have to wait until everything is in place and well balanced.
I had hopes for alpha, but this is beta. Less and less features will be added. Let's hope anyways.
But when the game is released, modding aside, it will be to late.