"Almighty God, Father of Abraham, Isaac, Jacob, and Jesus."
definitely sounds like a laundry list of God the Father's sons, and seems to put Our Blessed Lord on an equal footing, or possibly even below in rank than the other brothers. It seems to me that Dolan is trying to please the judaics in the audience.
It certainly seems that way, as contextualized by the theoretical and political trajectory that the Johannine-Pauline structures have followed and which had served as its very foundation.
To me, at least, one would be able to label such phraseology as "offensive to pious ears" without rashness, especially in this modern age contextualized by the above-mentioned political orientation towards the carnal and false Sion, principally through the false syncretism that compromises the very nature of the divine revelation that the cited "invocation" supposedly defends or illustrates.
It would be, for example, as if one prayed to St. Mary Magdalene thusly: "Sancta Maria Magdalena, meretrix, ora pro nobis." The sacred Magdalene was indeed a Penitent, but it is grossly obscene to mention her former transgressions whilst praying for her celestial patronage: especially since by divine charity she has been co-equated unto the heavenly choir of Virgins, as Pope St. Gregory the Great preached in one of his Whitsuntide Homilies.
Although it is true, and a testimony to the perfect humanity of the Word Incarnate and to the fidelity of God in fulfilling the oracles of the Patriarchs and Prophets of sacred yore as found in Holy Writ, to say that Our Lord descends from the Patriarchs Abraham, Isaac and Jacob by means of the virginal maternity of Mary Most Holy: it is, however, unbecoming (to say the least) to phrase this in such wise so as to co-equate the only-begotten of the Eternal Father, co-equal unto Him as one God in the unity of the Holy Ghost, to these same Patriarchs.
The divine filialiton of Eternal Word and the adoption of grace whereby the Patriarchs were justified by the future merits of the Redeemer seem to be confused in the wording of this "invocation." The very nature of the hypostatic union of the divine nature eternally engendered by the heavenly Father and immaculate human nature from the chaste womb of the ever-Virgin Mother in the divine Person of Our Lord is thereby obscured: and occasions of heresies or errors proximate to heresy are unnecessarily and rashly brought about, in extreme prejudice against the faithful who are already so confused by the present state of the Church as it is.
This is why a Catholic should find the query of the original poster most disconcerting:
My question is, how is saying that God is Jesus' Father in any way heretical or blasphemous?
It is disconcerting because a century ago a Catholic would never have even thought of positing such a query. Leave it to the modernists to find a way to debase and profane the lexicon of sacred doctrine and Holy Writ: and surely they have found it.