On hard acceleration, the pinion is trying to "climb" up the ring gear which reduces the effective weight on the passenger side tire. (Which is why an open differential usually only spins the passenger side tire) As a result, the driver side tire experiences a higher coefficient of friction, compressing the control arm bushings on that side and inducing a rear wheel steering effect that makes the vehicle want to go left. You might try running a few pounds more pounds of air pressure in the left tire to reduce the contact patch slightly to even out the tractive effort between the two sides.
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