If it is relatively clean, rather than polish try some quick detailer to get rid of the soap stains.
I have this Werkstat Acrylic Kit and went over it with the acrylic glos but it still needs another wash and use the prime and jet products to remove the rest of the marks.
I know I am going to end up with swirl marks even using snow foam and then two buckets with a good mitt so I will end up taking it for a full detail after I get it serviced.