mate, its normal, when your really raggin it, and your really hard on the brakes, itll just be skittish, Just becasue the car has transfered 90% or so of its weight onto the front tyres.
my clio does it, but my XR2 does it worse....really bad in fact, but its just an indicator that you @ the limit. Like most cars, a car wantid to spin, is a car about to spin, unless you know what your doin.
lowering the car will make it a bit better and reduce dive, but the weight transfers always gonna be there. And the stickyer the tyres, it just means you can brake jarder before you get to adheision limits, the tail will still skip about when you get there. you shouls try my old race kart with R brakes only!!! thats was a good trainer!