I have the kit so I know what's there. The turret motor should spin a little when you first turn it on. I bench tested before installation and the motors run without gears fine.
This is what I would check if I had your problem:
(don't mean to sound simplistic, but I know I overlook a lot of obvious things myself).
Brand new batteries, installed the right direction.
unrolled the white receiver cable.
added the antenna to transmitter screwed tighly and extended
turn on trans
turn on tank
you should hear the turret motor whine as a self check
This should work without the tank's metal antenna, just the wire.
My kit will hesitate and do strange things when to batteries run down or because I still haven't rigged my brass antenna, if the wire to trans space is blocked by anything.
Good luck, hope you solve it.
Otherwise try Tamiya USA Monday AM. They are expensive to buy parts from, but I woould think they would take care of a defect or at least help diagnose.