Doesn't sound like a dog to me... sounds like a funny looking Coyote

Squeak, squeak, squeak... Thwack.

Pets are just that, pets. As described by dictionary.com:

noun, adjective, verb, pet⋅ted, pet⋅ting. –noun 1. any domesticated or tamed animal that is kept as a companion and cared for affectionately.

If it's domesticated or tamed, it's not a "wild" animal, it doesn't run free wherever it wants to. If it's fed and watered it's a pet, if it chases prey animal for survival needs, it isn't a pet. I don't recommend going around shooting every dog you see, but there has to be a line somewhere.