Could be a matter of time before we start seeing this in the US, though I think the deer and the monkeys are an issue due to tourists reductions. That was their main source of food and since they are not coming around, the animals must search elsewhere. I am sure there are some areas in the US where tourist feeding is a primary source of food (Oatman, AZ comes to mind, with the wild donkeys, but they already take over the town during the day).
I could see bears become a problem with less people going to cabins and camping, where they scrounge for food.