If you are shooting a small pest like a rat, or see a grouse at ten feet, then .410 from a pistol might be ok, but for self-defense, you are better off with the .45 Colt load - the .410 will generally not give you what you need or want. For rats, mice, etc., I think the shot loads from .44 or .45 should be sufficient at close distances. This summer I intend to find out; when I mowed some of my property last year, there were mice every ten feet or so.
I think for mice a .22lr with snakeshot might do well. Are you going to use a long gun .410?
You may be right about the .45 load being a better choice out of the Judge, just don't make it a long distance thing as the screw in rifling is only at the very end and is probably not going to stabilize the bullet very well. Otherwise, I dare you to stand in my bedroom doorway and absorb a full load of 4discs and 16bbs from a 3" PDX1, then shrug it off and tell me its a mere annoyance. It'll knock yer butt down and then I put one in the melon from close range. (Just an example, not you personally)
That said, if we're talking general self defense, I agree the Judge is a poor choice with ANY loading, including buckshot, shot, PDX1, and .45LC.