im not seeing UV rays causing swirl. im also not seeing anything at jc whitney that i would use on my car to clean it.
try any of the meguirs sites, autogeek or detailers domain. these sites have the proper equipment and polishes waxes and cutters to do the job properly.
the main key is work in small areas keep the buffer moving and check check check your work!

personally i like meguiers as a cutter and poorboys black hole before final zaino 2 step hand wax.
if you havent done this i wouldnt recommend a high speed polisher as it can burn your paint very quickly. p/c 7424 or megs d/a polisher will cut most of swirl if you take your time.