Maybe you should learn to trackstand instead of learning to fall.

Answer with less sass: Try keeping your front foot up a little. Try 2 and 8 instead of 3 and 9. Turn your wheel a little more also. I think I've read here that most people don't turn their wheel enough when they trackstand. When you stand no-handed, you'll turn your wheel at least 45 degrees, probably closer to 60 or 70.

My personal quirk is that I stand with my front foot on the pedal AND the crank arm.