Before you start using any harsh chemicals, you may want to take a very close look at those wheels. Pay particular attention to the inner bead of the extreme outer edge of the wheel. If the chrome stops before reaching the outer edge (the part that bends around and touches the tire), then it is not a chrome wheel. If what appears to be chrome continues around the edge of the outer bead, then you are dealing with real chrome wheels.
I recently had a similar situation with a 2000 Mercury Mountaineer and was amazed to realize that what appeared to be chrome wheels was actually chrome looking inserts that covered and matched the identical shape of the wheel. Even my customer was fooled into thinking he had chrome wheels. The tell-tale sign was the 1/8 inch gap of where the chrome insert stopped and the regular steel wheel became visible around the outer bead, near the edge of the tire. Most people would never have guessed those wheels were not made of real chrome.
Remember, real chrome wheels and chrome looking inserts require two completely different approaches to cleaning.