Someone has been neglecting their bible-reading. Time to re-read the passage about veggie-meals for all, in Genesis. Though I wouldn't say it's, "out fault for sinning" because what happened if we read Genesis is that God made it vegetarian in the beginning, for all animals. Then quickly after God cursed the ground for man's sake. Death came in and now the system has to have different properties. (for our own sake).
Animal killing, etc, was a behaviour that kicked in after the fall. It is a complicated subject really but obviously the choice to not believe God and not depend on God's wisdom, has consequences for the world.
If the world was a lovely place with no consequences for disobeying God and heeding the enemy, then what would that say about God? What would it say about Satan's reasoning? It would say that Satan was correct, and that we can do whatever we want without consequences, and it would send the message that we can ignore God and still live in a paradise.
Just a question that popped into my mind: are you a vegetarian or vegan of some kind?