Do you have it configured to drive on one stick?
Not questioning you, but I've had Tamiyas for a long time and never had this issue, whether using the old Futaba 75 meg AM, 2.4 Attacks or Spectrum DX6is.
To pivot turn (which I don't think any WWII tanks could do), I have to go hard on the stick from a dead stop, it has never interfered with steering.
That said, I keep them set up with teh throttle on the left stick and steering on the right. I control the throttle and thumb the direction to tune steering, usually only a bit either way.
If you have it set all on one stick and either very wide travel adjustments or the trim is out of whack, I could see it being a problem, but honestly, I've never come across it either with my own or my sons driving.