If someone, and I'd lean towards our government at this point, got a hold of advanced technology capable of snatching people from anywhere on the globe and depositing them in a central location then someone outside of the it all would have noticed.
I mean, look at us. [He gestured between the two of them, movements relaxed, almost casual.] My disappearance might not be discovered for a day or two, but if you had disappeared right after walking out of Halawa someone would have noticed almost immediately. It wouldn't be long before the local networks picked it up despite all efforts to keep it quiet and then we'd be dealing with a media circus on top of a missing person's case.
Point being, these events would be noticed. And not just our absences. I figure at least one person saw the lights and made a report or talked to their neighbor about it.
More importantly, I don't remember you disappearing, so the question is how. How does something like this happen but no one notices or says anything. No reports, no tonight at eleven, not even a crank article in the National Enquirer. You think that whoever's got this tech also has the ability to alter memories or something?