The P-3AT wouldn't kick that bad if it had a bigger frame. It took me a few magazines before I found a position to hold it comfortably. The challenge is finding somewhere to put your fingers, while still holding onto the gun. It's very small and has a lot of room to jump around if you don't keep a good grip on it. If you never wear gloves while shooting, do it while using this!
Some people on ktog.org have reported problems - but you can send it back to Kel-Tec and they'll make some adjustments to turn it into a reliable gun. I have put over 60 rounds through mine so far, without a problem. The action is fairly smooth overall although the trigger is a bit heavy, and taking it apart involves using your thumb as a slide lock.
The P-3AT won't take home any awards for accuracy, but most cases of self-defense are at fairly close distances. It's pretty good within a few yards, which should be good for most situations. If you're planning on taking out a mass shooter, you may have to get uncomfortably close to get a reliable shot.
I'd like to see how accurate (with a lot of practice) one could get with one of these very small types of pistols. Incredible accuracy with a .32 or .380 is much more formidable than being a mediocre shot with a .40 or .45.