[MENTION=227213]wphamilton[/MENTION], yes the front wheel must track the turn, just as it must go straight when the bike is going straight. Countersteering is a perturbation, not a constant force. To turn right, you move the steering ccw, which drives the bike out from under you to the left, you and the bike start to fall to the right, you don't need to push any more, its stability corrects it to follow the lean angle. Once the bike is leaned over the steering geometry matches the steering turn angle to the lean angle. It does the same thing if you stand next to it and lean it over, or if you launch your BMX into a hedge. This fact is handy for maneuvering a motorcycle out of the garage. If you are turning no-hands you initiate by putting your center of mass off the center line for a moment, and the stable steering goes off-center to compensate.

All of this is way more obvious on a motorcycle. They have more mass, more head tube angle, twice as much trail as a bicycle, heavier wheels with more rotating inertia, and the added stability makes the steering effort much higher, especially at freeway speed. So it's heavy enough that the forces you put into it are obvious. If you try to ride no-hands on a motorcycle you have to move your body with much more effort to get any effect at all.