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I suspect that if any workable device that met your conditions had been invented it would already be incorporated in existing vehicles or at least would be widely available on the market.
Beware of snake-oil salespeople.
What is the current rating of the controller? If it is less than 3.1A then it is probably going into self-protect mode when it tries to start the motor (which has a 3.1A stall current rating).
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1) What are the rated full speed current and stall current of that motor?
2) I see no DC rating for the switch, so it may not be happy if motor stall current exceeds an Amp or two.
If it were a variable resistor you could tweak it slightly and check to see if that affected the LED current.
If it were a voltage reference then there would perhaps be a comparator for comparison of that voltage with the voltage dropped across a LED current sensing resistor. Changing that...