"Disconsonant" is evidently a neologism. The Merriam Webster site wants to know where you heard it. It occurs to me that it's a transmogrification ( look it up ) of "cognitive dissonance".
Anyway, the disconsonant ring to me was the entire narrative of events, in particular the writer's concern that the kids would be scarred with racist leanings, and the mild tone of his remonstrances with "Gail". I would be out of my mind.
Disconsonant
Thesaurus Entries
absonant, atonal, cacophonous, conflicting, cracked, diaphonic, discordant, discrepant, disharmonic, disharmonious, dissonant, flat, grating, harsh, immelodious, incompatible, incongruent, incongruous, inconsistent, inharmonic, inharmonious, musicless, nonmelodious, off, off-key, off-tone, out of pitch, out of tone, out of tune, raucous, sharp, shrill, sour, strident, tuneless, unharmonious, unmelodious, unmusical, untunable, untuned, untuneful
from: http://wordlist.com/disconsonant.htm
It is possible that I made up my usage, I do that sometimes. I don’t think It was incorrect, however. I think that discordant would have been a better choice.
To the topic at hand, Holder’s droppage (I did make that word up) of the Panther charges gave a signal that misbehavior (mild, I know) would be tolerated. Obama chose to speak out against a perceived racial injustice against his friend, Gates (the police acting stupidly) yet remains strangely silent on the topic of the feral youth. They don’t fit his narrative unless he can find someone else to blame.
Might have meant, “discordant”.