Haaaaa!
What an innovative way of going about it!
The short answer is I both like it and dislike it.
In terms of how light cycles move about, this kind of is how they move in terms of turning on a dime. In TRON 2.0, the light cycles are not tangible or subject to collision - it is a very small center area that is basically where the player is. The cycles themselves are not subject to collision with walls or each other. The center point must collide with an object for the player to derez. That is also why they pivot at the center, or so I would think. Of course, this makes for good game play but would not make for good light cycle animating rules (unless the animation hid errors for lack of a better way of putting it).
Now if the light cycles were tangible and subject to collision AND they were to move about with the full ability to turn on a dime, your multi-angled cycle turning idea would indeed illustrate that ability - at least in the realm where the most minute movement increments are visible. It also brings up another cool possibility in the digital world - objects, and the players inside them, can move in ways that they most certainly not in the real world. That concept is very cool.
Now having said that, I think it more just my personal preference that the cycles remain intact and not be subject to multi-angled style turns. Another cool concept of being able to do things in the digital world that cannot take place in reality, is the ability for the light cycles to instantly turn at 90 degree angles - as in one micro-moment in time it's facing one way, and then the very next micro-moment in time it's facing a 90 degree different direction. The whole instant move thing is very cool to me. Of course, at the same time - it is how to explain that kind of move that really prompted this thread because visualizing it does have some issues to work out.
The low down - I really dig the multi-angled approach - it's cool. But I do prefer the instant turn premise, perhaps because that's how it looked in the film and that's how I've always imagined it in my mind - the whole instant changing of direction thing.
Now in terms of doing a poll, I'm not sure that's available at TRON-Sector
But I'm sure others will chime in with their thoughts on the whole multi-angled approach.
Again - that was an innovative approach to the problem! Nice job, Carl.