Kel-Tecs don't seem to be as polished as some other more expensive guns. They perform better when new if you spend a few minutes doing a quick fluff and buff to smooth out some rough edges. You can also just break it in by shooting a few hundred rounds through it.
The P3AT is an extremely small and lightweight gun. Because of that it's particularly susceptable to limp wristing. If you keep you're wrist locked and let your elbow flex instead with the recoil, the FTEs disappear.
I can get FTEs with my S&W or my fife's Beretta by limp wristing as well. It's the small size and light weight of the P3AT that makes it more of a problem with that gun.
If you can carry a larger and heavier gun like the Glock 27, then that's probably a better choice. The heavier weight will give you less barrel flip, which makes limp wristing less of a problem. It also lets you get back on target for a second shot faster.
However, if you just can't conceal a gun larger than the P3AT, then learn what it takes to shoot it well and reliably.
Learn to lock your wrist when you shoot, and practice with it. If you're having problems with the gun after breaking it in some, send it back to Kel-Tec. They have a lifetime warranty, and stick by their products.
After shooting thousands of rounds through it you may start seeing wear, and the recoil springs may start getting weak. Send it back to Kel-Tec and they'll repair it, and update it with any changes they've made for free.
Someone said they shoot a thousand rounds a week. If you're buyinga gun to take to the range and shoot a thousand rounds a week, then a pocket carry gun isn't the right gun for you. The P3AT isn't a target gun. It has a specific purpose for which it's very well designed.
I have a P3AT. When the Ohio CCW goes into effect I will be carrying it as my primary carry gun when I can't carry a larger gun. When I can reasonably conceal a larger gun I will. However, my gun does me no good in my car or in my house. Therefore I'm taking the time to learn what my P3AT can and cannot do, and using it accordingly.
My wife on the other hand doesn't like the barrel flip, so she bought a S&W 642. It's a little harder to conceal, but it suits her needs better.