I can appreciate the sentiment here, but I'm reluctant to accept it on a purely practical basis. Which is to say: how do we make that happen? What does it look like?
The idea of inalienable rights is theoretical at best, because a large fraction of the world is alienated from any right one cares to name. As an assertion that humans deserve these things, that they should be demanded without compromise or compensation? Sure. As an assertion that they are in any consequential sense distinguishable from alienable rights? I don't see how.
Virtually every country in the world operates under laws that contravene the US Bill of Rights in one manner or another. The speech laws of nations like Germany and Britain, whatever their merits, unambiguously violate the First Amendment. The Sixth Amendment is unsupported in virtually any nation without an adversarial justice system. The Seventh Amendment is unsupported in most nations, where jury trials are either not practiced or not guaranteed. Even without touching the Second Amendment, the vast majority of liberal democracies allied with America do not uphold the Bill of Rights.
As is, this is easy to sort out: the Bill of Rights restricts the actions of the US Government and no one else. Issues like waterboarding and indefinite detainment operate at the edge of this principle, but I'm content to observe that the Bill of Rights does not discuss citizenship or soil; it simply places restrictions on the action of the US Government towards 'persons'. Rendition and torture are fundamentally different from any question of Google's activity, and were clearly illegal. Similarly, the government is restricted from infringements, not just direct action; the use of proxies like contractors to violate rights is clearly illegal.
In the international case, though, I genuinely don't understand what you're proposing. Google did not violate the rights of persons, citizen or otherwise, US soil or otherwise, on behalf of the US government. (In fact, it's not even clear that it would have violated such rights by running Dragonfly in the United States on the orders of the US government. I desperately want Constitutional privacy guarantees, but the idea is still uncomfortably penumbral.)
So: are corporations obligated to uphold constitutional rights with regard to their own actions, independent of the state? Are they obligated to uphold those rights abroad? Does that exclusively apply to companies incorporated in the US, or those resident for tax purposes, or is a permanent establishment sufficient? If the answer isn't 'incorporated', what are they to do when multiple nations assert conflicting rights, as with Google's Canadian legal mess between 1A guarantees and the right to be forgotten? If it is 'incorporated', what happens when US-dominated companies begin incorporating under international flags of convenience?
I could go on at much greater length, but leave it there. My objection is not that US citizens are special or deserve better than other people, but that attempts to enforce Constitutional guarantees beyond the action of the US government have promptly become both legally ambiguous and frighteningly imperialistic. And so far, I haven't seen any proposal for avoiding that outcome.