My wife does the same thing for one of our cats, but she switches between cat ham and cat sandwich turkey. Whenever we make fried chicken livers for ourselves (old southern dish) she'll pick up an extra container or two for the cat as well, the cat loves them raw. As for the other 3 cats, they could care less about human food, they only eat that Blue Cow or Buffalo, or whatever it's called along with copious amounts of Temptations.I buy cheap sandwich ham.. I call it cat ham. I do keep a bowl of dry food available.. But if you want a cat to love you, feed em "cat ham". The low sodium is better for them I'm sure.
I make them eat mice and a little hard food once in awhile