Wild turkeys taste like um turkey. Turkeys from the wild will not have the fat under the skin as any domestic turkey. Wild turkey needs to be basted and cooked with lots of moisture. I usually use a cooking bag. Many folks will cover the turkey in bacon. Frying is a good option because the legs don't dry out like they do when roasting in the oven.
Most states do have a permit you can get to have wild animals or game birds. You need this to raise any breed of bird normally found in the wild in your state. This would include wild turkey breeds like Eastern, Rio Grande, Osceola, Merriam , etc. Pheasants and quial are usually treated differently. Only Ringneck Pheasant usually require a permit. Other pheasants are considered ornamental. Usually Bob White Quail need a permit while many other breeds are exempt. Hungarian Partridge and Chuckar depend on the state because in some states these have been introduced to the wild and are considered game birds while in other states they are not game birds.
Getting back to the original question, I would not take wild poults and raise them unless they were orphaned, and only with a permit. If I wanted a wild turkey to eat and would let them grow naturally and then shoot one after getting a hunting license.