I have never experienced this before and shoot quite a few autos in bright sunlight. I wonder if the windows had polarizing coating on them? I see dark/light stripes in my car windows when wearing polarized sunglasses.
A polarizer is only going to cut glare on one surface plane at a time, like a storefront glass and a puddle on the sidewalk. You can dial in one or the other, but not both. You may be able to find a setting where both surfaces get some help, but not fully.
One thing I noticed by accident, wearing polarized sunglasses while shooting through a polarizing filter isn't the best idea. I've just ordered new glasses and told them not to add the anti-glare coating, which is polarizing. Not to be confused with anti-reflective coatings, just anti-glare.
There are an awful lot of recommendations out there to use linear polarizers on mirrorless cameras instead of circular. You can find videos if you're interested. I use circular and have never noticed a problem.