Firstly...
Firstly, the verses: Do they await anything but the fulfilment of it [VII:53] and: but they denied that, the knowledge of which they could not encompass and the interpretation of which had not yet come to them (X:39) indicate that the whole Qur'an has exegesis, not just the implicit verses as claimed by this group of scholars. Secondly, implied in this view is that there are Qur'anic verses whose real meaning is ambiguous and hidden from the people, only God knowing their real meaning.
However, a book which declares itself as challenging and excelling in its linguistic brilliance could hardly be described as eloquent if it failed to transmit the meaning of its own words. Thirdly, if we accept this view, then the validity of the Qur'an comes under question since, according to the verse, Why do they not reflect upon the Qur'an, if it where from other than God they would have found in it many inconsistencies.
One of the proofs that the Qur'an is not the speech of man is that, despite having been revealed in widely varying and difficult circumstances, there is no inconsistency in it, neither in its literal meaning nor in its inner meaning, and any initial inconsistency disappears upon reflection.
If it is believed that a number of the implicit verses disagree with the sound, or muhkam, or explicit, verses this disagreement may be resolved by explaining that what is intended is not the literal meaning but rather another meaning known only to God.
However, this explanation will never prove that the Qur'an is "not the speech of man." If by exegesis we change any inconsistency in the explicit, or sound (muhkam), verses to another meaning beyond the literal, it is clear that we may also do this for the speech and writing of man. Fourthly, there is no proof that exegesis indicates a meaning other than the literal one and that, in the Qur'anic verses which mention the word exegesis, the literal meaning is not intended.
On three occasions in the story of Joseph, the interpretation of his dream9 is called ta'wil (exegesis). It is clear that the interpretation of a dream is not fundamentally different from the actual appearance of the dream; rather, it is the interpretation of what is portrayed in a particular form in the dream. Thus Joseph saw his father, mother and brother falling to the ground in the form of the sun, the moon and the stars.