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What they should do is sell a bunch of permits and tags for the Park; They'd get the goats out of there and make a few bucks for the state.
Actually I think they did the right thing by killing that goat. It had a history of being aggressive to hikers in the area and what would happen if it killed someone else? Sure enough, the National Park Service would get sued. The goats aren't native there so I really don't see what the issue is in killing one goat. The problem I did have is that they had to waste money doing a "necropsy" on it to find out if it had something wrong with it.
Why didn't he leave as he instructed his hiking buddies to do?