Hello,
The only way you are going to get that brake dust off is to use Hydroflouric acid. Wheel acid. You may also have to use
a brush or fine steel wool with the acid if it is not strong enough. It looks to me like there is no clearcoat on them. After you acid wash them, they will look bleached out. You then need to use a metal polish, I prefer Malco metal polish,
but you can use which ever you prefer. After you polish them, you can spray the wheels with a high temp clear and coat them. If you do not do this, then the only way to clean them is with a neutral ph ( car wash & wax soap) to keep them clean.
If you use any type of cleaner whether an acid (low ph) or an alkaline cleaner (high ph) you will bleach them out again and bust your butt polishing them again. The reason that wheel companies clearcoat polished aluminum rims is so that there is a protective barrier that protects the metal from bleach out and streaking when you use a cleaner on them. They never did that years ago. Same process holds true to clean diamond plate. But make sure you use a high temperature clear, because if you dont, it will turn yellow when the wheels get hot. Good Luck.
Joe