I defer to the posters above on dealing with twist. Great advice.
A few other things to consider as you see fit (unless you are tying commercially or for competition):
During the Great Hair Extension Hackle Famine tiers made due with the hackle leftovers and discovered:
Hen hackle can actually float a fly well enough in the smaller sizes, say # 18 and #20. Even the cheap Indian hen necks. You wouldn't want to tie a Catskill, but certainly a Variant or Spider. And with some agressive brushing or shaping on stream, they are great for quad duty as a soft hackle, cripple, or spinner. This is not the case if I am tying a parachute, which I admit is often.
An Elk Hair caddis with a clipped hackle is just as good as one with a perfect genetic and doesn't even look that bad. Besides, any number of anglers prefer no hackle EHC's.
Though a nice Catskill tie is a pleasure to behold and you will find very strong, adamant opinions on how they should look, the ties by a Catskill legend such as Theodore Gordon were hardly in that mold. Images of his ties are available online. Though he probably had access to the best hackle of the day, it would not have been on par with our current genetics, and the flies look it.
Indian **** necks (not saddles, big difference) became popular for a while during the GHEHF. Those things wrap every which way and you don't get many turns, but they come out quite buggy looking. In fact, I would say that those hackles in # 12 and maybe #14 (they don't come much smaller) will catch better than a tie with perfect looking hackles.
Marinaro came up with a thorax hackle wrapping scheme that created a footprint far different from a Catskill. Frankly, simply using a lesser grade hackle that twists around will give you nearly the same effect without changing much about the body and wing position which is what Marinaro had to do to achieve his effect.
George Harvey and later Joe Humphreys were very particular about hackling a dry fly. Yet in the Dan Shields book which includes a great deal of quotation from Harvey, we learn when onstream he regularly clipped his beautifully tied hackles flush in order to catch. I have done the same many times as I am sure others on here have as well. "Inferior" hackle, which runs a bit softer, can be simply brushed up to provide that effect.
Short story long, for the twisted hackles you still have, I would embrace them for their possibilities.