They’re lacking their natural predators — and the logical solution of introducing them is ruled out because the local forest preserves aren’t large enough to support wolf packs.
Maybe the coyotes will figure out how to take them down.
An environment is whatever it is at a point in time. You have described how things are around you and that is the current normal. You may not like it or even understand it but that is how it is.
You have to decide whether deer should live within your domain or not. At the moment it sounds like they are a negative factor for you. When you have run out of deer, will you start on the coyotes? When you have run out of creatures with backbones, will you start on arthropodia or amphibians?
Deer eat grass, they can thrive almost anywhere in North America just fine with or without people feeding them.
In suburbs they probably need to capture and slaughter some number of them to keep the numbers reasonable.
https://www.msudeer.msstate.edu/deer-diet.php
"Although low quality forages such as mature grasses provide adequate nutrition to animals such as elk and cattle, the quicker digestive process of whitetails requires more readily digestible forages to fulfill their energy and protein requirements. On severely overpopulated and depleted ranges, white-tailed deer have starved to death with their stomachs full of low quality forages."
Aren’t those from cannibalism?