I know I'll get flamed by Judge lovers out there, but the Judge is not a very good self-defense handgun unless you load it with .45 LC. In that case, there are many better choices for the price/size/weight.
Buckshot fired out of that short barrel is not going to penetrate to the vitals reliably. Might it work? Sure, it might. There are better choices though.
Birdshot? No way.
The Judge is good as a trail gun, for snakes and such. Even then, there are better choices. If you want one as a fun gun, then go for it.
No, I don't want to get shot with one - that still does not mean it is a good defensive choice.
As far as the LCP - my wife has one. Not fun to shoot at the range, but great for what it is. Powerful enough to get you out of trouble at close range. Light, small, easy to conceal. Reliable. Inexpensive. I'd recommend it - as long as you can find ammo for it!