I've tried Autoglym, Mothers, Nu-Finish, Turtle wax, armourall and even Castrol truck wash. However now I only use Dish soap for penny's on the $$. (Or truck wash if I get given it.)
Yes it lifts of wax and strips the paint bare. THAT'S THE POINT.
People will tell you it damages paint or causes rust... Those same people will also try to sell you expensive soaps.
Use a soft wash mit (whatever is your choice) and go to town, top to bottom.
Once done, give a quick once over wipe with a microfibre cloth using at 05/50 ethanol/water (methylated spirits = ethanol) mix, sprayed from a squigy bottle. This will completely finish lifting any old wax / sealant leaving you with a dry clean surface. Don't waste cash on expensive isopropyl alcohol (at least in Australia it's stupidly expensive vs. methylated spirits) as metho works exactly the same.
Now your paint surface is read to havey a fresh cost of your favored Last stage protection (wax or sealant.)
Whole process can take as little as 45 minutes from start to glam shots. As you've prepped the surface so well, you've given the LSP product the best chance to do it's job and bond strongly to the raw paint surface.
Regards
Jordan