Some things to work on.
1. Make sure you're getting a good grip on the pistol. You should be easily able to run through an entire magazine without having to readjust your grip. Even when it's sweltering at the range and your hands get sweaty.
If you are using a proper grip and you still can't get the traction you need to keep the gun from shifting during a shot string, then it may be time to look into ways to modify the pistol. Stippling, stick-on grip panels, grip tape, decal grips, different grips, etc.
2. Make sure you're not blinking during your shot strings. If you don't ever see muzzle flash then you're blinking with the shot even if you don't realize it. This is the visual equivalent of readjusting your grip after every shot. Every time the gun goes off, you have to open your eyes, reacquire the sights and target and get everything back in focus.
3. Practice your trigger control. It doesn't matter if you are one with the pistol, you can maintain perfect focus on the front sight, and blink less often than a snake, if you yank the trigger you're not going to make the hits. Dryfire is the best way to acquire good trigger control skills. Don't pick the gun with the best trigger; for this you want to practice with the gun that has the worst trigger in your safe.
4. When you're at the range, practice, shoot for score and keep records. Sure, range trips should be fun, but if you're trying to build skills, you're going to need to work at it--and you need to be able to tell if you're improving. So have some fun, but don't forget to do some drills and practice.
5. Have realistic expectations. If you want to be able to consistently shoot multiple aimed shots per second, you're going to have to expend a decent amount of range time, ammo, and dryfire practice hours.
6. Don't try for speed--especially not at first. When you get everything working right, the speed will come.