from my experiance its going to be ALOT harder than it sounds to land on a moving carrier... but then again a carrier isnt exactly supposed to be terribly mobile in the first place.
its best to place the docking module on the very very back/bottom of the fighter (you kinda have to design it with this in mind) and you have to slam down on the sunway and use it to properly align yourself as you move to the capture pit where it will get docked.
the issue comes with speed, the faster you are moving the glitchyer it gets so you actually need to slow down quite a bit under your own power, i find moving faster than about 50m/s against a stationary target tends to be the limit.
Even stationary, moving at 200 m/s, it was pretty easy to nail down a perfect path to take. I haven't given up on this idea entirely, but right now, there are more pressing concerns. Like making a proper planetary invasion ship, or a high speed, high volume mining vessel.
It should also be mentioned that my framerate and performance issues may be from the fact that I consider this ship to also require an escort fleet, which contributed to the overall lag. As of right now, stationary, with escort fleet and JUST the shell of the carrier and a single fighter for experimentation, I'm down to 45 frames per second. And if you botch a landing, as I did one time, and slam into the side of the carrier, sending it spinning and flying, it causes almost uncontrollable lag and jumping.