John,

Dishwashing soap is NOT needed to remove old wax, this is like an urban legend or something....nonsense really.

Ethan suggested "clay". I also highly recommend you clay the car, this step will remove the wax PLUS anything left over will be removed by your polishing step. Running just your hand over your cars paint can be misleading. Take a plastic lunch (sandwhich) baggie and put your hand inside of it and then rub your hand across your paint. By doing this you will feel exactly whats on your paint.

Clay that area then do the baggie test again. It should now feel like glass even with the baggie on.

Paint polish is NOT the same as paint "glaze". A glaze is designed to fill and hide light scratches while giving the paint alot of gloss. A paint polish is designed to clean (abrade) the paint (also called "leveling" by many professionals) and in doing so, when used with a rotary, will level out paint imperfections but not hide them.

So as stated, you wash the car, clay it, polish it and then if needed, glaze it, and then seal it. Sealing can be done with a traditional paste wax or a paint sealant.

Hope that helps,
Anthony