> The language of your statement reveals the problem (sorry for being deconstructionist...)
Sure, but not for being wrong.
> There is very little that the Constitution prohibits -- that's not how it's constructed. It's not designed to blacklist certain governmental powers.
There's quite a lot that the Constitution prohibits the government from doing.
> That people think of government power in terms of whether it's prohibited by the Constitution rather than whether it's allowed by the Constitution reveals how far away we've gotten from understanding how it was intended to work.
That people think that there is a difference shows how little people have paid attention to the Bill of Rights, a rather critical piece of the Constitution, which, as part of its whole stack of specific prohibitions, made the two superficially-conflicting approaches you refer to equivalent when everything not explicitly granted to the federal government was explicitly reserved against the federal government (see Amendment 10.)