I would ask if you 'landowners' have title to water or mineral rights? How about the air above? Will you fire on aircraft? Are there any archaeologic, aka cultural resources on your land? They are not yours either. And those animals are NOT your property. They are the property of the people. Please take a walk outside and think about all the services you enjoy from this onerous society you're complaining about.
You cannot ahve things both ways at your personal convenience.
Funny thing about our trapping laws here is they say if a beaver dam is on your property you can trap it without a license. The one thing you don't own is water, you can own all the land around a lake for example but the water belongs to the State, so I'm not sure how you are able to trap without a license at that point.