Atleast your on the right track, it seems pretty stupid how sites do seem to be clueless on this, for example, when you get your synapses fried by hargreave, prophets face apears and states this is no time for dieing, but with the twist of using the nanosuits voice, the same voice that says "nanovision, maximum armor, cloak engaged"
Another example is, well the book, its called "Legions" meaning many, as one. a.e. prophet and alcatraz merging personalities. In the book it was actually alcatraz speaking in the debriefing, abd he personally says " he hates having to share personalities, and remember his memories" I mean people come on. This is all in this game, you actually see the cutseens about prophet, those are suppose to be memories.
Book was importrant to understand, but it was clear your dead, but theres an extra, the suit is also nom' noming on your insides, anything that will allow it to repair all the bullets that do penetrate.
So yes, its prophet and alcatraz are sharing a suit, but not a conscious. "legion" is the keyword. "many and one"