Even if the binary were as luminous as the Sun, it would have been 6000 times dimmer than the full Moon, so our nights would have looked about the same.
They say the intruders were fast and lightweight, and so wouldn't be expected to perturb the cloud much--so we shouldn't expect a rain of comets in the next few centuries from the encounter. And that near-misses at this range are expected to be every 10,000,000 years or so. Which means either this is a rare sighting, or else the estimate is off.
By symmetry, I guess the Sun went through their "Oort" cloud--and so did we. Not very dense, was it? Saturn's rings aren't anything like The Empire Strikes Back and the outer clouds are even sparser.
UPDATE: Per Texan99's comments, I figure the thing would have swept across 90 degrees of the sky in about 6 years. 83km/sec is fast up close, but at a distance it is less dramatic.