AYoh, what you have there is a very interesting case. The clear coat on your wheels has been chemically damaged on the surface, however it appears to be completely intact otherwise. It would be reasonable to assume that the polished aluminum under the clear coat is still fine. If you're lucky it's urethane based and not a powder coat finish.
Something we discovered a few years back that is unique to urethane cleared polished wheels is that the clear can typically be stripped with minimal to no damage to the polished aluminum underneath. That is assuming the person doing the work has done it successfully before.
We use dip tanks and a chemical stripper made up mostly of methylene chloride and hydrofluoric acid. Wheel goes into the stripper for 30 seconds to a minute because that's usually all it takes. Then straight out into an aqueous solution of trisodium phosphate to neutralize the acid and then onto a fresh water rinse. Leave the wheel in the stripper for any longer than is absolutely necessary and it starts to dull. This trick will not work on powder coated wheels because the powder coat takes quite a bit longer to break down in the stripper and by the time it has been removed the wheel is dull.
You need to find a local shop that has some experience messing around with polished wheels. I'm not guaranteeing that the above scenario would work on your wheels, but it may be an option if you find the right shop. The only other thing that may send the operation into a tailspin is the magnesium content of the wheels. The more magnesium, the more reactive the wheel is with the acid in the stripper and the quicker it will oxidize.
Also, some of the responses to your thread are a bit...colorful. I'm not going to put anyone on the spot. Would just suggest doing some fact checking here and there.
By the way, beautiful E36

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