Your process is close but generally this would be the correct order:
Wash/Dry - Clay bar - Medium abrasive/cutting polish - light abrassive/cutting polish - chemical polishes - glaze - sealant - wax
Cleaner waxes are typically like chemical polishes that leave some protection behind. Therefore they should be used after any pure polish. If you want to provide the exact products I can give you more specefics but most likely you'll apply the polish first and then the cleaner wax.
If you want me to help you develop a package or routine that best suits your needs please let me know. Good luck with the detail!
Greg @ Detailed Image