Thanks, Brian.
I see the error in my late-night posting (serves me tight) It seems I omitted a key term from my post: "In situ."
I'd like to measure motor torque in an EV while the vehicle in motion, under normal driving conditions.
Ah... that makes sense.
I see three approaches:
Power or current and efficiency
remy_martian described this one: the car reports the electrical power used at any moment. That power divided by an assumed efficiency is the power being delivered. Power divided by speed is torque. This will be close except in extreme conditions (very high or low load or speed), where efficiency changes substantially.
If the car reports motor (not battery) current that's even better: the motor has an ideally constant ratio of current to torque, and if you can determine that from any condition you can apply the same ratio with reasonable accuracy even in significantly different conditions.
Apparently some of the Tesla in-car displays include torque, and this is essentially how they are determining it... but they have not just one ratio but a detailed map of motor current to torque built during the development of the motor. And they used a torque meter to measure the motor's output torque during testing to build that map. This level of sophistication is not realistically a DIY solution.
Performance
The acceleration of the vehicle, minus the drag, indicates how hard it is being propelled. You can work this out in terms of power (torque multiplied by shaft speed equals power), or of force (torque to wheels equals force times tire radius), but either way you need to know how much drag there is, and that can be determined by a coastdown test (and is roughly indicated by power consumption at constant speed).
Direct measurement
... or at least relatively direct: turn the axle shafts into torque transducers by fitting the with strain gauges (and a way to read the gauges on a spinning shaft!). This is theoretically sound, technically feasible (it's how real inline torque meters work), but in practice not an easy project or anything that I would expect a DIY enthusiast to do.