The best way is to sandblast the chrome off. Stripping it chemically may damage the part and then you have the waste chemical to deal with... and that's not cheap to dispose of correctly.
Yes, there will be a layer of copper plate under the chrome and nickel. The pitting on your die cast "pot metal" parts has gone through all the layers.
FWIW, that is what we in our shop that makes emblems for Chrysler (no diecast) and others. If we need to strip and redo the chrome, it goes into the sandblast booth and then back through the process. Of course, usually it's just cheaper to start from scratch, but that's another story. I have had diecast redone by a couple different shops (like I said, we don't do diecast) and they have always sandblasted to strip the old chrome.