The cyborgs were clearly in the wrong. However, you may have innocently triggered their friend or foe programming by 1) Answering her question about were you were going. It's none of the cyborg's business; and 2) Having a boarding pass in hand instead of a membership card and photo ID. A boarding pass screams: I'm a non-member trying to get in on status and international travel!
Not that there's anything wrong with that, but if you're a member, show your membership card, don't answer questions, and don't take no for an answer.
Who carries their membership card? I haven't ever carried mine in the many years I have been a member (unless I know I will need to use a US club and remember to grab it). I've never been denied entry because I don't have the card (even durring the few weeks post-3/3/12 when their computers couldn't look up membership info).
Membership cards, in general, just need to go away.