If you can, try swapping the front tires side-to-side and see if the car behaves differently.
Also, YOU may be the handling difference. Many motorcyclists note that they can turn harder in one direction versus the other. Reasons are many and varied. I can turn harder to the left than the right as evidenced by tire scuff marks. In the car, I do better in left hand turns while autocrossing because it's easier to gauge my proximity to the cone(s). Something for you to consider.
Also, YOU may be the handling difference. Many motorcyclists note that they can turn harder in one direction versus the other. Reasons are many and varied. I can turn harder to the left than the right as evidenced by tire scuff marks. In the car, I do better in left hand turns while autocrossing because it's easier to gauge my proximity to the cone(s). Something for you to consider.