Cat scene photo is pouncing on a lizard
A little way from me when found your cat eating wild animals, may be useful:
Leave it alone as long as he still prey on wild animals.
In order not to be eaten in the house, every time your cat carries its prey, you kick the cat out of the house so he eats it outside the house. Take a broom stick, but do not hit, yes just broom you at the floor near him.