Longer wheel studs?

Oklacarcollecto said

Look at the area from where the small hub cap would cover the lug nuts. There are humps that the hub cap snaps over. Next look at the rim where the tire is mounted. The area on your wheel looks tapered compared to the wheels where that area is flat that I posted above.

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If anything, I'm thinking it's the part of the rim that the hub cap covers that is different from the factory wheel and is causing this problem. Maybe the area that the actual lugnut goes into is taller or thicker??

The shape of the wheel that you see as tapered, vs the flat of a factory wheel, I do see that difference but it isn't hitting anything so it's not the problem.