The text I quoted from you is the very premise of the Watchtower theology.
Is it?
Hmmm, never really paid that much attention to that to be honest, but liek I said, as I interpret what is written, it seems to mean just that:
Judgment day will came, unannounced and no one knows when it will happen or can predict it ( As per Jesus saying just that), people will be judged, Christ will be made known to ALL, and the choice will be theirs.
Of course this view can and should be debated as it leaves out the Book of life and the names therein.