Every bike has different handling characteristics, some are just better at descending than others. This is probably due to the combination of head-tube angle and fork rake to give good tracking. My everday bike used to track really solidly but I had to change the fork and now it is a bit flighty. I borrowed a bike in the Alpes and did some terrifying descents on another skittish machine.
For technique, learn how to pick the best line, bleed off speed before a turn, lean into turns, avoid the back brake, beware of camber and road debris.
Try practicing on your own, without the pressure to keep up.