Can you link me to some documentation that shows that red foxes, cotton tails and peregrines are not native? I don't know what you consider 'common field mice', but I know the common house mouse is not native. As for field mice, well, there are quite a few species. Also, just because an animal is native to an area (like the eastern US, for example) doesn't mean it is native to ALL of the US. For example, large mouth bass have been introduced into lakes they are not native to, as so they don't belong there. Even though they are native in other areas close by. White tail deer and Eastern Wild turkeys have spread/ were introduced to areas of the US they are not native to. But they are native species in parts of the US.