I agree completely that you need to be properly positioned BEFORE you enter the turn. In order to do this, you’ve got to do several basic things:
1.) Properly set-up for the turn, i.e. which side of the lane for a proper apex
2.) Scan through the turn, identifying any obstacles, debris, etc., and find your apex.
3) Have your weight distributed between bars, seat and pegs…balls of the feet on the pegs.
4) Move your body slightly to the inside of the turn before you tip in. Your upper body should be inside of the verticle axis of the bike.
5) Point your inside toe and knee towards the turn.
6) Press the inside bar foward while keeping your head/eyes level, looking as far through the turn as possible.
Don’t hang off on the street…if you’re going that fast on the street, you’re going to crash in the next turn or two anyway!
There are a few different techniques that will get you through hairpins, or quick left/right combitions. Even at speed (over 10mph) you can still counterweight provided you have the clearance. Just move the bike under you. It’s not a universally recognized technique, but up to pretty quick speeds (and assuming clearance) it’s effect. On quick turn combinations, you can do the same thing, assuming you are at less than a quick pace.
And, again, don’t hang off on the street! FWIW, the REALLY fast at track days and most of the guys I teach with get their knees down LESS than the guys who *think* they’re pretty quick. They just get a cheek off, and manage the tire and throttle. It’s humbling…