The big variable in determining how many turkeys in a quarter acre, is maturity. How mature are the turkeys, and more critically, how mature is the food forest?
Little turks dont eat a fraction of what a mature, 20-30 pound (or more) breeding turkey will eat.
More critically, a young food forest is not going to provide much food at all. If you had a fully optimized quarter acre multi-layer food forest, that would produce dozens of times more turkey food than in the early years.
Starting out, with young plantings, I would say 2-3 turkeys would be good. The food forest will not be providing much, and extra turkey pressure will be harmful to your establishing plantings. IME, turkeys love to roost in trees. They arent so good at judging the strength of trees. So they will regularly fly up into trees that cant support their weight, with the result being lots of broken tree branches. I watched a five month old turkey fly up into the crown of a young peach tree, and snap it off clean. Big bummer. This pattern will be a real challenge with young trees and turkeys. I now only have
chickens and ducks in my young orchard for this reason.
Turkeys eat a lot, as a function of their large body mass and basic maintainence requirements. Turkeys are also only half as efficient as
chickens when it comes to digesting their feed. So it takes a lot of food just to maintain a few turkey hens and a breeding tom. Inadequate nutrient intake for turkeys leads to lots of health problems, so I would definitely err on the low side for numbers. I think that in a few years, maybe five, you could be raising a breeding trio and ten poults or so, but that would be optimistic and assuming a best case scenario. A quarter acre is a pretty small space for birds as big as turkeys, if you dont want to feed them a lot of purchased feed.
I would map out on graph paper your plan for planting. It is strongly reccomended to plant full size trees, not semi dwarfs, in a food forest setting. Semi dwarfs have small
root systems that are not very drought hardy, and dont have the vigor of a full size tree. Too many trees in a small space will stunt one another and not produce good fruit crops. It is always good to be a little conservative with your spacing. My peaches, apricots, pears, and plums are on 15 foot centers. This allows good airflow and sunlight penetration. I would not want them any closer, and may wish they were further apart as they mature. Nut trees are reccomended on 40' centers, so that would mean 8-10 nut trees on a quarter acre and you are all full. Definitely map it all out and be realistic before you start planting.
Food forests are awesome. I just visited the best one I have ever seen at CRMPI last week. They are an ongoing
project that work best when allowed to evolve slowly over time. Take your time, be thorough, and enjoy the process. good luck!