The key is really to take that shit really really fucking slow and play it with a metronome, gradually increasing speed as you feel more and more comfortable with the movements. There is no "special trick" to getting better at something...you just need to practice it over and over and over and over etc.
Muting is really important too when skipping strings...are you doing it with just left hand alternate picking or legato or are you doing string skips with tapping? Your left hand index finger should take care of muting the strings higher than the one you are on and your right hand palm should be muting the ones lower than the one you are playing. Make sure to keep your fingers close to the fretboard too so you're not wasting time going from string to string (this is all really general advice anyway, string skipping or not).
It also helps to stop viewing your favorite guitarists as having some sort of untouchable level of technique. Remember, there was a point in time that Romeo (or whoever) was learning his first pentatonic scale or barre chords. If anything, crazy technique is the *easiest* thing to achieve on the guitar, since all it takes is lots of hours and a metronome. I'm not downplaying the amount of technique that top players have, just that once you start thinking of it as "I can learn do that too" rather than just "wow look at how godly so and so is, how do they do that?" it becomes much more mentally freeing to bust your own ass.
