I feel like “darts” is the odd item out in this list of (presumably) Americana.
In any case, a gentle reminder that the USA has hundreds of missiles carrying nuclear warheads ready to launch…
…and that the President of the United States has virtually unrestricted nuclear launch authority.
I don't think Quark is naming American things, he's naming Earth things, and all he knows is stuff Bashir, Sisko, and O'Brien have shown him, which includes darts.
(Sulu is from San Francisco. Kim codes Asian-American very hard. Sato is from Japan. We don't see an Asian from Asia as a major character until I think Georgiou on Discovery? One or two South Asian characters.)