@bbinder, a couple of things to consider.
- One possibility is not that you haven't changed edges, but rather that you are on the new inside ski and the new outside ski is weighted less than the new inside ski. So, the skis basically put you in the splits. This would be consistent with changing edges by moving you body inside the turn laterally, often with an extension of the old inside leg to push you up and over, but not transferring weight to the new outside ski. It might be thought of as bracing against gravity rather than against perceived gravity -- the forces of the turn.
- A second possibility is again that you are on the inside foot, but trying to push the outside foot to an edge. But because there is little pressure on it, the inside foot is dictating the turn and the outside foot is running away from you.
One thing that might help is to focus on the edging movements. Try to think of being in a more flexed position at the end of your turn. Then to start the new turn, tip the knees down the hill. Tipping the knees will tip the lower leg, which will change the edges. And by tipping the knees, you will create a high enough edge angle to accept pressure early in the turn.
One way to build this awareness and capability to tip the knees is through skating. Find a flat spot, or even slightly uphill spot. Roll the knee inside and then push off of the resulting edge. Land on the outside edge of the other ski, and as you glide, roll the knee up and over and inside to create a platform that you can then push off of the other ski.
You can take this into your turns -- skate from turn to turn, tipping that new outside ski from the little toe side over to the big toe side and ride the edge around the turn. You can even keep that inside ski off of the snow.
This should help with your alignment to the outside ski. And it won't be possible, if the knee is rolling down the hill into the new turn, for the ski to run away from you.
Mike