Miscues are caused almost exclusively by a poor stroke or bad tip maintenance. And by bad tip maintenance I mean letting the tip get glazed over where it is too smooth and won't hold chalk very well. Some tips glaze over faster than others, and in general (and there are certainly some exceptions) harder tips glaze over more quickly than softer tips. If the tip is starting to glaze over you will need to scuff it (rough it up) with a tip tool or sandpaper or the like, or you can use a tool like the tip pick which puts little tiny holes in the tip to help it hold chalk. Which of the two is better depends on the type of tip, how glazed it is, your proficiency with each type of tool, etc. Basically it depends on the situation.
But by far the biggest culprit for miscues is a crappy stroke that isn't straight and/or doesn't follow through. However, even if the cause of the miscues is a crappy stroke, most people with a less than ideal stroke will miscue quite a bit less with a softer tip even if they never let the tip glaze over. So for an instant reduction in miscues, try a softer tip, and work on your stroke for the long term fix.
As for low deflection shafts, they make no difference to how often you would miscue. As for whether or not they are better in general, the jury is still out on that one. Some people love them, some people hate them. Some of the best players in the world use LD shafts, and some of the best players in the world use regular shafts. There is really no evidence to support that better pool can be played with one over the other.
I don't personally think there is near as much advantage as some would have you believe to having a shaft where the cue ball only deflects a 1/4" on a particular shot verses one where the cue ball would deflect 1/2" on the same shot. You still have to adjust either way, and you will quickly learn to do this subconsciously no matter what shaft you use. Now if there was a such a thing as a zero deflection shaft (which is impossible) then that would be a whole different story.
You play best with that which you have the most confidence in, and which "feels" the best to you. If that happens to be regular shafts, then you should play with regular shafts. If that happens to be LD shafts, then you should play with LD shafts. But for right now your concerns should be your stroke and your tip and save the shaft experimentation for later.