In case that massive population explosion doesn't convince you, consider the Galapagos Islands. Sailors introduced goats to these isolated islands and let them breed to serve as a source of fresh food (essentially turning some of the most ecologically interesting islands in the world into the first-ever drive-through restaurants, as one does). Fast forward a few years, and the goats have wrecked eeeeeeeverything. Galapagos tortoises? Nope. Bye bye. In fact, most efforts to rebuild dwindling tortoise populations (or to revive extinct species) hinge on aggressive goat eradication.
In other words, these dangling goats should be happy they get to live to see another mountain. And the relocation team includes a veterinarian to make sure the goats are doing okay before they're released in their new home. They have to be taken hundreds of miles away, or else they'll find their way back to their old digs.
And while we'll admit that this looks a little rough --
-- the nets are actually safer than tranquilizers, which can take so long to work that dazed but conscious goats are liable to hurt themselves.
At the end of the day, the goats seem to be okay!