We have wildcats in our neighborhood occasionally. One of our neighbors up the street shot one a while ago. Noticed that the neighborhood kittens started disappearing in numbers. Once the cat was killed, the kitten population stabilized.
Kim says if you're talking about wildcats, you're probably talking about cougars, aka mountain lions. We have them in the Shawnee National Forest (the forest turned 40 loose several years ago, to help control the deer), and there was a pair that moved into the spoils of the strip mine where DH worked.
The guys always went deer hunting out there, and about 3 years ago, they noticed that the deer were less plentiful. Guys had been spottng what they thought was a cougar for several months, and then one of the guys, who was out hunting by himself, walked into a clearing where they had field dressed (gutted) a deer the day before. He noticed that the remains had been covered with leaves.
He told Kim he suddenly got a funny feeling, like he was being watched, and then spotted the eyes, looking at him through the brush. He said the hair stood up on the back of his neck, as he realized that he was no longer at the top of the food chain.
We (and probably you, too, Katie) also have bobcats in this area. They are much smaller, and have tufted ears. They're not a danger to humans, although they might go after your toy poodle.