A friend of mine instinctively skidded and grabbed the front brake (he's normally very good with both) to avoid another bicyclist who cut him off on the inside of a right hand turn. He avoided the other guy, but the skid made it easy for the rear wheel to lift off the ground, sending him over the bars. He was OK, but his RB-021's were not. If you need to stop fast, let your front brake do that for you, you shouldn't really need to resist. Let the pedal motion move your legs and feel for the rear wheel lifting off the ground. You'll feel it before it does. That point right before the rear wheel lifts off of the ground is the maximum stopping power you can apply.
I use my brake a lot on my bike with risers and rarely on my bike with drops, mostly because the lever is in a super convenient place on the riser bars, but on the drop bars, it's really only accessible in the drops, which is fine with me. The times when I really like the brake the most are times when I'm in the drops, pretending to be an English time trialist from the 60's.