In this instance I don't believe the prevailing side was representative of the full organization. It was a staffing issue and a vocal group large enough to sway the vote came unannounced.
Do the members present need to vote and pass the "Reconsider and Enter on the Minutes"? If so, that would be unlikely to pass also due to the biased group.
I was thinking about proposing we pass a motion that in the future any motion related to staff must be announced as an agenda item two weeks in advance and not dealt with as a surprise floor motion. And if it is not announced in advance, then it can be brought as motion from floor for discussion but not voted on in that same meeting.
If we announce this proposal as a topic in a future meeting, then discuss and pass (without the pressure of a "hot" topic), that could help avoid this in the future.