I hope you find a person who understands heelers, do an internet search for a local animal behaviorist or blue heeler breeders. Talk to them and perhaps learn about your dogs natural drives and how to work "with" them.
The basic sequence of motor patterns for a Heeler are: orient>eye stalk>CHASE>GRAB BITE...Kill bite is a major fault and bred against in heelers. The motor patterns in bold print are hypertrophied.
What you want to do is not supress the natural enhanced drives of the dog, but, to redirect the drives to other objects (balls, toys etc.). A dog fullfilling it's natural sequence of predatory drives is internally rewarded. So, although the owner may think it's a horrific event that the dog may use it's natural drives towards another family pet or livestock...it's quite natural when not socialized properly with the animals.
You need to socialize your pup around your goats and the young in a safe way. Pups that have natural drives cannot hold eye on an animal they have been raised intimitely with. For example if I brought up a border collie with sheep like I would a livestock guardian dog...when that border collie grows up it will most likely not be able to hold eye on sheep.
You should also teach your pup an emergency down. A dog will down before it will come when showing eye and starting the chase motor pattern. When they still can "see" the "prey" object they are going to listen to the command that will not draw their eye away. I would probably purchase a basket muzzle and have the pup come with me daily while tending to goats. A young goat that moves away quickly of reacts in fear will be an object of predatory drift. Slowly desensitize your pup to your goats...you cannot suppress or "get" rid of the natural motor patterns, but, with the right help you can learn to live with them and direct them properly.
