We stripped ours and took about two summers to polish it (are you ever really
I too know of several who have found that stripping and just waxing is a-okay with them. It depends on the integrity of your clearcoat...if it is real splotchy, then parts of the exposed aluminum may have oxidized for longer than others, which will give you a shiny vs less-shiny splotchy look even after stripping. If the clearcoat has failed evenly, then you may find your aluminum pretty evenly patina-ed and not want or need to polish at all as the aluminum under the clearcoat was protected.
Regardless, keep in mind that really oxidized areas have been developed over years
of exposure, not weeks, so a couple of months won't make a difference in your overall polishing effort no matter what method you choose.