Honestly I'm pretty sure it would. Short of them shooting a pizza man, Everything they said is an actually pretty solid defense. The cop wouldn't be fooled for a second that they got exactly what they wanted, but unless they tricked, trapped, or baited someone into coming onto their property, then they would be totally in the right.
Like genuine question, how much money would it take to give you a BB gun and a maga cap and approach their compound? You'd have to be mental or prepared for a firefight. The only defense you could make is that you were out hunting and looking for your dog and had no idea they were crazy.