Well, polishing "levels" the paint with abrasives, so no matter what you have on there, it will be removed down to the bare paint. But once you have the paint the way you want, and you Zaino it, why would you polish again?
For that matter, any paint cleansers will also remove everything down to bare paint. So in general, polish, clean, etc, and then apply your LSP. After that, it's wash and QD'ing mainly. If you want to remove everything every time you wash, why not going with a good carnauba like P21S?