I suspect you have some slight misapprehensions about the -ation suffix1, because it is not so exclusive. I would explain that in detail, but it is not really of direct relevance to my answer, because you do not want to refer to the state or result either. You seem to want to refer to the quality something has which makes it able to grant that state or result through the process of edification instead. If so, I recommend Edifyingness2.
It is a rare word2, possibly archaic word, which is within the bottom 10% of words3 but the form of derivation resembles Willingness, which is a word I am sure most people recognize; what it lacks in recognizability it makes up for in etymological precision and the -ation and -ing suffixes are closely related1.
There is an importance difference between these two words is the addition of the additional final suffix the -ness suffix which denotes sometthing extra. This restricts it from being interpreted as the action itself, and instead refers to the either state of the action or the quality of the action which acts to imports the morals, the latter of which is being the definition we want. It also seems like it is the formal dictionary definition of the word, which is "The quality of being edifying."2
The word does exist in print on a few results on Google Books, and the usage in this particular late 17th century quotation seems to match the meaning you want in your exemplary sentence quite closely:
And this is that in which chiefly consist the power and edifyingness (as they call it) of their Preaching, and by which they think themselves so far to excel the Instructions of the conformable ministers; as if these could not say the Word Christ as often in an hour, as the most powerful and edifying of them; and I wonder were lies the mystery and great difficulty of this gifted sort of Rhetorick.
The most recent example I can find of the word seems to be from the late 18th century, which suggests that it had a significant tradition of usage:
It cannot give him peace to despise that motion, when the judgement is convinced of the soundness and edifyingness thereof: for, in such things are most profitable to people, and which therefore the Spirit doth suggest, there is to the intelligent minister an unquestionableness; and the question is not here, whether such a thing be truth or not; for we suppose that it is obvious.
The most interesting things to me about these exemplifications is that they seem to be coordinated with qualities and traits of the sort you have exemplified, and they are indeed religious contexts.
All of the later usages on the google Books Library simply seem to appear in dictionaries, which suggests to me that it fell into disuse but remained worthy of note for some reason, and most especially so because it still appears in Merriam-Webster's dictionary3 which probably would have cut it out by now if it was not.
References and Citations
1 Webster's Revised Unabridged Dictionary, 1913, s.v. -ation:
A suffix forming nouns of action, and often equivalent to the verbal substantive in -ing. It sometimes has the further meanings of state, and that which results from the action. Many of these nouns have verbs in -ate; as, alliterate -ation, narrate -ation ; many are derived through the French; as, alteration, visitation ; and many are formed on verbs ending in the Greek formative -ize Fr. -ise); as, civilization, demoralization .
2 The Century Dictionary and Cyclopedia. s.v. edifyingness
3 Merriam-Webster's online dictionary, s.v. edifyingness
4 Webster's Revised Unabridged Dictionary (1913) -ing:
A suffix used to form nouns from verbs, and signifying the act of; the result of the act; as, riding, dying, feeling . It has also a secondary collective force; as, shipping, clothing .
5 Webster's Revised Unabridged Dictionary (1913) s.v. -ness:
A suffix used to form abstract nouns expressive of quality or state; as, goodness, greatness.
6 Some Observations upon the Answer to an Enquiry Into the Grounds & Occasions of the Contemt of the Clergy; by John Eachard (1672) pg. 140
7A Learned and Complete Commentary upon the Book of the Revelation by James Durham (1788) pg. 489