well the reason you wear gloves is because your hands are exposed to it longer than your car is(applying it) and skin is diff than clear coat. However, if you dont want to do it, you can polish them out with a porter cable.
the product i use and some detailers here use (because of high mineral content of water here in southeast) is Bio-clean 1-800-341-5417 is their direct line or
biocleanproducts@yahoo.com.
i can just tell you it did a great job on my 370. I know people who use the bioclean with a PC as well. Anyway-your car-your choice of what to do. I just wish you the best.