Well, I beat a ticket just like this - without a lawyer.
I got a ticket for "improper start from a stopped position" because the cop said I "spun" my tires.
I looked the statute up and got the exact text of the violation I was charged for and formulated my defence.
The statute stated that if a car starts from a stopped or parked position in a manner which is dangerous or endangers others, then it is in violation.
Well - I did "squeak" my tires from a stop, but it was quick, the pavement was dry, and there were no cars to my right - only the bike cop to my left. I went to court, told my story as above, and the judge dismissed my ticket.
So here's what I would personally say:
If you were making a U-turn, you were turning in as small a circle as you could. The RSX loaner you had is front wheel drive with an open differential. Each wheel can go at its own speed, but the design of an open differential is problematic for FWD cars because it allows the wheel with the least traction to get the most power. As you were turning in the U-turn, the inside wheel turns wider than the outside, and since the curve is smaller on the inside, it turns at a different rate (slower). What it boils down to is that the inside wheel has a larger tendency to spin, regardless of the speed you're going.
To test it, try this: find a parking lot that is really smooth - slick even. Turn the wheel all the way to the stop, and gently accelerate. You will still hear your tire spinning on the inside even under light power.
Unless you were being really crazy, you should be able to get off. Besides - as the judge told the cop at my hearing, if I was being that crazy, he should have given me wreckless driving instead.