Hey Todd..
One of the primary tools in Johns method is pulling the uphill ski in towards the downhill ski, actually scraping it .....think like shaving a block of ice. This motion starts the skis turning in the selected direction. Then, the shape of the turn and speed can be managed by how much weight is dialed in to the uphill ski. Keep in mind also that while you're pulling that uphill ski in you are also pulling it back so your skis stay in line as much as possible which actually keeps your hips squared.
As far as dryland exercises....one that I like for the ankles is: sit in a chair with your feet flat on the ground. Concentrate on one foot at a time and tip that foot to the outside edge and then back to the inside edge. Do 3 sets of 10 for each foot. I have found this to strength ankles and increase flexibility.
The other one I like is using 5 lb ankle weights, tip and lift one leg slightly off the ground and pull it in towards the leg bearing all the weight. While starting it on it's baby toe edge, scrape it in and lift it so the bottom of your foot touches the calf of the weight bearing leg. Again, 3 sets of 10 seems to work for me. I believe this helps me strengthen the muscles used in the scraping and tipping motion.
Best,
Gary