Oh i agree its nature, but less of them in my area means more bunnies and deer for me to fill my and my family's belly. as for the rodents, that's why i have kitties. I have just seen what happens when these things are not kept in check. Not to mention these animals are very smart and are not easy to shootWhen we eradicate predators like coyotes we cause explosions in rodent populations and hasten the spread of disease and the destruction of vital grasslands.
Especially as a hunter it is vital that you respect the need for these wonderfully adaptable animals.
I'm sorry for your kitties but for the animals it is not personal. It's just nature.