I won't suggest any of a multitude of far better choices in individual guns, but I WILL say that the Judge/Smith .410/.45 Colt revolver in any form by either maker is one of the WORST possible choices for any type of survival handgun.
You won't get close enough to most birds (or squirrels) to hit with the limited-range birdshot, it will not take down a rabbit even if you could get close enough to shoot at one.
I seriously doubt you could get close enough to a deer to hit one with the mediocre .45 Colt accuracy.
Velocities are so reduced with .410 Buck that it's neither an adequate defensive or hunting proposition, .410 slugs are typically very light in weight, quite inaccurate at any distance (you are, after all, shooting a .41-caliber projectile through a .452-.452-inch bore), and also lose effectiveness along with reduced velocities.
If you want something you can actually HIT with at typical animal encounter distances, a good .22 that you can shoot well will be FAR more effective on birds, squirrels, rabbits, turkeys, and other small edible game at greater distances.
If you want something that can defend against cougar, smaller bears, wolves & so on, a good .357 that you can shoot well can take smaller game up to deer easily, while offering sufficient power for the larger clawed threats you may have in your hometown area.
And, I will continue to say the Mare's Leg is a poor all-round choice for serious purposes.
Denis