Goldwing, claying a car is an incredibly simple, safe and effective process. So many people are afraid of the process, but we teach it almost every week at our detailing clinics here at work. Honestly, on a car the size of a Crossfire, it's a 20 minute job unless the car is horribly contaminated.

But if you think a simple wax job, no matter which wax you select, is going to get rid of the swirls, think again. The ONLY way to remove swirls is to level the surrounding paint - meaning you need a paint cleaner with some degree of abrasive in order to eliminate them. Scary as that sounds, when all you're doing is removing swirls you are taking off such a minute amount of paint that we can't even measure it. There are old school rubbing compounds on the market that will get rid of those swirls, but in the process they will haze the paint pretty badly. They are not designed to be "finishing" polishes or cleaners. Stay away from them. Far away.

Companies like Meguiar's, Menzerna, Poor Boys, Pinnacle, etc make the type of product you're looking for. The easiest to find locally is probably Meguiar's Ultimate Compound, and it's probably also among the easiest to use and most effective products of its type. You can use it by hand (though I dread the thought of correcting a vehicle entirely by hand) or with a good D/A buffer like the Porter Cable 7424XP or Meguiar's G110.