The Lynx was found in Grove county Kansas. Theterrain is pretty most, in most areas, but dense in others and contains a very large density of prey... even more than what can be found in the eastern half of the state, with much more cover. Jackrabbits and pheasants are around nearly every corner. If Lynx are able to find a more than ample food supply and good cover with very low density of humans, I'm not sure why they wouldn't. Once the Lynx are transplanted, I would assume the historical data of being with the Snowshoe hare may change, from adaptation.

But I'm not a Biologist either, so I may be way off the mark. But it seems to make sense.