What do you mean when you say clean the front more thoroughly? Automotive wax is nothing like floor wax, it isn't permanent and certainly doesn't build up. If it has been a while since you waxed there likely isn't anything on your paint. Most waxes are good for say 2-3 months tops on the average car, possibly a bit longer if your car is garaged most of the time.
I am assuming you are talking about using an abrassive or chemical paint cleaner like Meguiars Deep Crystal step 1 or Mothers step 1 or a cleaner wax or something along those lines???? If so don't worry about stripping the wax, they will do that without any problems whatsover.