I lived in Mtn lion country for 13 years. I've had them come through the barn lot, tracks not the animal, and seen tracks when elk hunting in the snow, never attacked. Oregon stopped hound hunting years ago and a population of 3K went to an unknown. Its not uncommon for an old cat or a young tom being driven out to go through town and the little kittys and dogs pay the price. Occasionally a llama or calf gets eaten, but with a verified population in the thousands, no kiddies.
Cats don't leave their territory voluntarily, they are driven out because they old or young toms and biologist don't believe they travel any farther than the food supply forces them too. Its not likely many cats are going to end up in MO, much less in a city without a large deer herd, their steak and potatoes.