How dirty are your wheels ??? Please advise...
I have had a 3 new Acura's in my experience and even the sporty TL-S did not have Chrome Wheels, as in a steel wheel dipped in several tanks, starting with nickel plating...
You probably have finished and clear coated wheels, and with that said, you need to be careful what you put on them and never - never - ever - do them when they are hot...
You run the risk of etching the hot parts as what happened to Alexxxx89 above...
Some wheel cleaners are very strong and can eventually cause things to go bad..
As has been said above - it is Always going to be better, if you get a few good made-for-wheel-brushes, etc., and use the same soap you are washing the car with..
Now, with that said - you must either make a separate batch of soap and just wash the wheels - and throw it out when done, and start over with new soap in a clean, rinsed bucket, to wash the car, or wash the car completely First, then do the wheels after...
But never use the soap from cleaning the wheels to wash the paintwork, ok ?
Good luck with this !
Dan F