Well, it depends of what sect of the Galilean´s supporters has the ear of the Emperor. After all, before Julian the christians were using the Roman State to solve their petty infighting around their supposed "simple, evangelical message". It is true that the Trinitarians had the most support between the Western Clergy, but the Arians were the most inflluential(in the East and in the Empire), because Constantius II wanted to be Bishop of Bishops as well as Emperor of Rome and he supported the Arians as the True faith, punishing (by banishing) Athanasius as an heretic and enemy of the Roman State during most of his rule. The Augustus, not the Council, was De Facto the final authority on Christian dogma: What he says goes. So if the heirs of Julian in the Throne of the Caesars are Arians, the Arians will prevail, if he is Trinitarian, the Trinitarians will prevail, if the Emperor continues Julian´s policy of ending the banishment of "heretics" and let the Christians discuss their theological problems without intervention from the State, the sect is going to lose a lot of cohesion and will go through a cycle of schisms until it get stabilized, or get into irrelevancy, whatever happens first.