Hey OP, I ran into the same issue - here's my story and solution ...
I detail lots. I own a '12 nautical blue taco. From new I wax every 2 months in the summer - too cold here in the winter. I did a 3 step (clay, glaze, wax) when it was still new. I use Meguires
products except for the glaze (Mothers).
Last fall I did a 3 step using polish in step 2 instead of glaze. All my rubbing was done by hand at that time. That polish dried and was near impossible to get off ! I mean you could barely rub hard enough to get it off. Tried detailer as well and it helped some but what a pain in the ass ! I finished the day with a wax job.
I then spent all winter looking at the buff marks I put in the finish trying to remove that polish ...
This spring I purchased a Dual Action Polisher (Meguires). I just did a 5 step last weekend (alcohol/H2O to get all the sap off, clay, polish, detailer to get a clean finish, wax). I am very happy with the results - no more buff marks and most of the swirls gone. The trick I found with using the polish and the DA machine is to use lots of polish and do small areas (2 by 2) then get the polish off while it is still wet. I found that even with the machine, if the polish dries it is a bitch to buff off by hand.
- you cant rub enough by hand to do any correcting before the polish dries.
- get the polish off while it is still wet.
I will only use the polish once a year and use glaze every other time I do a 5 step. Oh ya - mask off any trim you will be getting close to, esp. with the glaze. It is virtually impossible to get off textured black plastic.