Tires slipping on the rims can happen if the wrong kind of lube is used when mounting the tires. The best lube is "organic" and actually made from lard. Put it on liberally so the bead seats properly. After that, it literally is absorbed by the tire and the tire won't slip.
If they are still using soap suds, go scream at them -- that's cheap, but it slips.
Incidentally, I run Michelin LTX M/S in 265/70R16 at 33-34 psi on both my Tundra and my wife's Sequoia. It's a VERY smooth ride, and the tires don't slip on the Toyota alloy wheels.
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