I have ridden the bike paths of Shawnee Mission Park to the Kaw River as well as ridden along other stream systems in the area. If the park deer had safe access to the Kaw River and other natural areas via green belts, they would be able to migrate as they do when not isolated by development. Connecting corridors are used successfully in Europe, as well as green bridges over highways.
This is not a problem of overpopulation of the deer but of poor planning, zoning and human encroachment. We should help these animals find food and shelter rather than slaughter them due to our own lack of foresight. This can still be done at Shawnee Mission Park by connecting the parkway system in a way that allows the deer to move from area to area. Green tracts that allow the deer to move around without walking across highways is the key.
If people are concerned with Lyme disease, they should take appropriate precautions or spend their outdoor time in parking lots. Eliminating every deer in the park would not halt this disease.
Deer are beautiful animals, not just meals on the hoof for poor people.