HA! Something I can actually contribute on, woot!
Far and away, the best thing ive found to remove wax/polish bird stains, ect, from plastics or other non painted/polished surfaces, is MR Clean Magic Eraser.
You need 1/10th the effort required in the OPs suggestion, but the only caveat is to be careful around pained surfaces. I would even tape off painted surfaces that you may end up hitting while scrubbing the affected plastics, as Magic Erasers will leave fine scratches comparable to a light rubbing compound.