How do you call in Latin the phobia of Cyrillic letters, a typical Hungarian malady?

The roots of most phobias are Greek, as is the word "phobia" itself. The long lists of phobias provided at https://en.wikipedia.org/wiki/List_of_phobias
http://psychology.about.com/od/phobias/a/phobialist.htm
http://phrontistery.info/phobias.html
http://www.ojohaven.com/fun/phobias.html and http://phobialist.com/ do not include a word that precisely fits what you describe, although it could be included in the broader term Russophobia: https://en.wikipedia.org/wiki/Russophobia.

If one wished to construct a specific term for this (as plenty of non-psychiatrists have done to create many of the phobia terms available), one could combine the Greek form of Cyril with the Greek for writing or alphabet and (of course) phobia, something like Kyrillikographophobia or Kyrillikoalphabetophobia...

Some phobias have been named with Latin roots combined with the Greek phobia, but in this case Cyril itself has a Greek root, as does the word alphabet. The Latin for writing, "scripto" could instead be employed to create Cyrillicoscriptophobia...