Yeah, you would need more than just ethnicity. You can read the Justice's examples directly in the case. Being or looking Mexican on a parking lot may be enough to justify a Kavanaugh stop, but just being Mexican or looking Mexican on it's own is not enough.
Well since I can do all of those things without being stopped due to my race, it appears that being Mexican would be the sole determining reason
"Parking while looking Mexican."
"Looking Mexican in LA."
Mm... I can smell them Freedom Fries.