I agree that the electro-netting is to keep the predators out, not to train the turkeys to keep away from it. It is great though even without the charger if you want to periodically move the fence because it just pokes into the ground. I use 47" tall field fencing (like RedBrand) permanently installed with medium grade t-posts. It keeps both the turkeys and sheep in. My experience is with Royal Palms, Narragansetts, Black Spanish, and Bourbon Reds. They do not fly directly over it. When they are energetic and want to air it out they fly low and close to the ground, avoiding the fence. When they can see a perching place like a tree branch above, that's when they will make the effort to gain altitude. They will carefully guage the branch and only fly up if they are sure they can make it. (Mine roost high up in Ponderosa Pine trees every night starting from a low branch and then working their way up high from branch to branch.) So, if they can reach a branch that's either inside or outside the fence line, they'll do it. That's how they get out. A fence with a perchable top will get jumped this way too, but not a fence with a wire for a top. Other breeds may behave differently; my experience is as above.
As to the dog, I've easily trained 2 dogs to leave the chickens and turkeys alone using the shock collar. One is a Standard Poodle genetically programmed to pursue birds. Non-birding dogs are even easier to train because they are not trying to suppress such instincts. It's quick and easy to do. It's a total stimulus-response issue for dogs. Yes, the dog should understand who the pack leader is (you), but when it comes to going after a bird, the dog should believe that the pain of a shock is independent of anything other than it's own action of going after a bird. So you have to be diligent during the training process and not allow the dog to go after a bird without you being ready to zap him. In fact, you should let the dog go after the birds just to get this aversion-training accomplished. Don't scold the dog, just give the dog praise when it runs back to you for protection from that powerful bird.
Mortimer