1.) Going back to my original question #2, does resistance in a buckling column ever go to zero? Or does it gradually decrease? On a Euler's curve (?) diagram it looked to me like there was a dramatic drop in strength/resistance but not all the way to zero. Assuming that the "center" hinge point never actually snaps apart, by the time it bends to 90 or 100 degrees, as a very rough estimate, would there still be 5% resistance? 2%?
Depends on the material, depends on the geometry, but it can happen. In fact the "resistance" (strength) of a column can actually go negative, i.e. its own weight can exceed its strength, so it becomes a drag on any redundant members supporting it.
In practice, most columns will fracture before bending this much. We don't usually make columns out of spring steel or thermoplastics... but a plot of stress vs. strain will be continuous right up to the point of fracture. (ETA: Some exotic composites, viscoelastics, and supercooled non-Newtonian fluids excepted, but don't worry about these.)
For all intents and purposes, a real structural column like the ones in WTC 7 will reach their maximum (buckling) strength under load, become somewhat weaker as they are forced to displace further, and then abruptly go to "zero." There can be some minor additional
energy absorption in a dynamic situation, viz. Dr. Bazant's plastic hinges, until they actually fracture and then they contribute nothing. But for all intents and purposes they are no longer contributing to strength in the static case once buckled.
2.) Would a set of columns with moment frames provide extra strength/resistance as they buckle?
What the moment frames are doing is providing fixed end conditions to the columns, which makes them stronger than columns with merely pinned or unfixed ends. The moment frames can buckle as well, and if this happens first, the columns suddenly become much weaker than they were before as their ends are no longer fixed. Hence a buckle in the moment frame can lead to an instantaneous buckling in the columns.
The moment frames can also absorb a little more
energy after they buckle, but again, not much and it depends on how they're hit.