Hi Faith.
We're told this would generate too much heat
As my understanding goes, that's correct. But it's not just the energy generated by the movement which you would need to factor in - it's also the energy which you would need to apply, in order to create that sort of movement in the first place.
To work out a decent stab at a number like that would be enormously complicated. Not only would you need to work out how much energy to apply to shift a rather large mass of rock laterally (and according to a quick trawl on Google, Everest alone weighs 357 trillion pounds) at a rate thousands of times faster than the plates are currently moving - you'd also have to factor in how much extra energy would be needed to crunch, subduct and fold all of that rock.
And then you need to work out where that kinetic energy would have come from. The centre of the earth seems the only option - and it would be my firm guess that the application of enough kinetic energy, from the centre of the earth, to move that much rock that violently and that quickly, could only have led to a cataclysm which would have destroyed the planet.
I might have a fiddle around with some numbers later on, if I get time.
Either way - energy output, or energy input - the numbers are going to be more than daunting for the movement you'd need.
Could there be any greater conceit, than for someone to believe that the universe has to be simple enough for them to be able to understand it ?