Yankee Papa
Alpha
I don't think that the sights on the LCP should even be used. Practice without using them. It's a very close range weapon, not much more than a knife.Having carried an LCP for 10 years, it is most definitely not a fun gun to shoot. That isn't its purpose however. It's purpose is concealment in the smallest possible package, either as a backup, or EDC when you just simply can't carry anything else.
The best thing to do with an LCP is practice to the point of proficiency, and realize that its a close defense weapon. In other words, don't bother training with it at 25 yards or something crazy. I do most of my LCP range time at 10 yards and less, although I can and have hit paper targets at 25 yards with it. I've got one with the Lasermax laser on it from the factory, which helps a good bit in target acquisition. The sights on the LCP II are a bit better, but not enough so to warrant an upgrade in my books. I carry using either a Desantis SuperFly or Nemesis holster. I used the SuperFly for most of the last decade, but wore off the grippy material, and ordered a Nemesis to replace it.
I practice with it at just beyond arm's reach.