Hikaru, I am, in real life, prejudiced against militaries. If you saw what the US-supported military dictatorship did in Brazil, you would be, as well.
However, one, Lilly does not have any stone and she was being surveilled. Two, Lucas is from another country and she was being surveilled by an American general.
As a reward, in both cases and in Jon's as well, for saving the world. Several times, at that.
Brazil is a sovereign country. Lucas and Lilly have privacy rights.
And this isn't a story about a teenager with a nuke. This is a story about a fictional stone that grants wishes. In this kind of story, the keeper of the artifact is entitled to keep it, in general. And even if it were, no, the US government should most definetly not be trusted with a cornerstone of reality. No government of any nation with the possible exception of Switzerland should.
And no, what Jon did with the stone had a much wider scale than a military coup, but in terms of damage it didn't even come close to a military coup. What Jon did had good results to. A coup doesn't. A military coup, Hikaru, destroys a country's culture besides destroying its people and causing horrible amounts of suffering. Deliberate suffering. Mass suffering.
Babies were tortured in the Brazilian dictatorship. Our culture changed for the very worst - we're actually still recovering from that legacy.