I discovered a new problem. I have some grinding on the inner rim of the front wheels at full lock with the wheel somewhat unweighted. It's enough to grind off half of the wheel weights and a portion of the rim.
Here is the driver side wheel at full lock with normal weighting:
Here is the passenger side at full lock with the front end jacked up a ways:
And a closeup:
I spoke with AEV and the wheels are the correct 25mm offset version for the XK. We are not sure yet what the problem is.