The comparison with money is interesting but not equivalent to copyright infringement. The closest valid application of the concept of counterfeit to songs, for example, would involve using them to make media and its packaging look like any original packaging, and also try to sell it as the original. If you're not doing this there's no counterfeiture.

Should it be illegal to use a general purpose computing device because it damages Tim Cook's livelihood?

The fact that you use the state as a proxy changes little.