It's a common problem. I do advise to wet sand and then cut/polish. My specific advise though is to wet sand enough that it is not noticeable but not perfect. You really won't be removing that much material. Use a block. Don't go nuts. Take the edge off the notice factor and then let the sun do the rest. Do NOT try to make it perfect. It's easier to someone else boat than your own, as with your own you just want to keep going that extra mile. Resist. A fifteen to twenty minute wet sanding will be all you need or want. Sounds like a lot, but remember you need to be ready to got through the range of grits, that's probably like 4 or 5. I can't recall, but I seem to think I'd start with something aggressive like 400 and that goes VERY quick, but then you go through the range all the way to like 1200 before compound/polish.
Use a block. Use a block. Use a block!!! Get your squirt bottle and keep it wet, and avoid getting too pasty.
