The grammatical evidence suggests distinction and separation (two individuals) between the archangel and Christ. The preposition "en" [with] associated with the dative nouns "shout", "voice", and "trumpet" suggest a time-- not an associative aspect. To associate Christ with the one shouting, the preposition "meta" would have been inspired.
Meta denotes a sense of accompaniment and would have suggested Christ and the angel were the same person:
Strongs G3326 μετά meta met-ah'--A primary preposition (often used adverbially); properly denoting accompaniment; “amid” (local or causal); modified variously according to the case (genitive case association, or accusative case succession) with which it is joined; occupying an intermediate position between G575 or G1537 and G1519 or G4314; less intimate than G1722, and less close than G4862): - after (-ward),X that he again, against, among, X and, + follow, hence, hereafter, in, of, (up-) on, + our, X and setting, since, (un-) to, + together, when, with (+ -out). Often used in composition, in substantially the same relations of participation or proximity, and transfer or sequence.
Instead the preposition "en" was used which, in our context, implicates more of a time aspect and is rarely used with verbs of motion that indicate direction. Descend is a verb of motion:
A primary preposition denoting (fixed) position (in place, time or state), and (by implication) instrumentality (medially or constructively), that is, a relation of rest (intermediate between G1519 and G1537); “in”, at, (up-) on, by, etc.: - about, after, against, + almost, X altogether, among, X as, at, before, between, (here-) by (+ all means), for (. . . sake of), + give self wholly to, (here-) in (-to, -wardly), X mightily, (because) of, (up-) on, [open-] ly, X outwardly, one, X quickly, X shortly, [speedi-] ly, X that, X there (-in, -on), through (-out), (un-) to(-ward), under, when, where (-with), while, with (-in). Often used in compounds, with substantially the same import; rarely with verbs of motion and then not to indicate direction, except (elliptically) by a separate (and different) prep.
With this and other biblical evidence, I've come to the conclusion Michael and Christ were not the same person.