Jim .. tis true that goats eat a huge variety of things, poison ivy included. The eat non-vegetable matter also.
I must say however, after having owned goats for a couple of years now, that expecting goats to remove poison ivy problems is not really a solution.
First off, poison ivy is prolific. Where there's a little, there's usually a LOT not far off. 2nd, it would take a lot of goats to do away with the problem entirely. Lastly, goats eat alot of other things so if you want them to eat ONLY poison ivy, well that dog just don't hunt.
Contrary to popular myth, yes goats do eat a lot of unusual things, but they are as finicky an eater as has been invented. My goats like maple leaves, dried or fresh from the branch. If you made a pile of 10 of those leaves, they would eat 6 of em and you couldn't force feed the other 4 to em no matter what.
Very finicky.
My goats eat poison ivy, but will never make a dent. The real topic then becomes - cute lil pigmy goat eats ivy - wife kisses cute lil pigmy goat - the rest doesn't require much imagination.
The way we deal with poison ivy, especially the mammoth 3" thick vines affixed to old stately trees in the forest is the chain saw. Cut a 4 inch section from its stalk (2 cuts). It will die eventually. You can speed it up by pouring some roundUp on the exposed stalk - being very careful not to contimaniate the tree or its roots.
The lil stuff - well we deal with that like any other weed. It gets string trimmed or roundUped, depending on where it is. Dealing with PI is a venture of compromise - and when it's not, we usually lose.