Sorry if I'm interrupting any trains of thought here ^^''
Here's a theory I'm brainstorming over at the moment X)
What if the Andromeda Initiative was, at least partially, funded by Cerberus? Yeah, probably occured to a lot of folks; here's my version:
Before they went full Reaper-crazy, they recognized the importance of diversity, they just wanted humans to be at the top. Now, what if they really did discover that something was coming, before Shep' blew the lid off the Reaper invasion? What if they didn't know what was about to happen, but they did know that at least some folks need to "GTFO of there," and reaching Andromeda was such a colossal undertaking that even Cerberus couldn't have achieved it without Council support. Of course, the Council would've never agreed to that, so they needed a "front" and kickstarted the first rich person's project they could find: Garson's Initiative. Heck maybe they "planted the bug" in Garson's ear in the first place! ^^
Back to this thing with the Council --- if it aligns with their interests, Cerberus is willing to work with aliens (see Normandy SR2). Also, I see no reason for the Cerbs not to have contingency plans to secure human supremacy once in Andromeda. Maybe the only reason Garson got killed was because of her idealistic views, and then Tann was installed as an unknowing puppet.
Aaand humanity does indeed end up setting up shop in a friggin dyson sphere! XD The biggest Remnant relic known to us so far. Just from the sheer magnitude of the projects they were working on, I think it's safe to assume that if the Jardaan ever encountered the Protheans, the Jardaan would kick them back to the stone age. And, for the time being, humanity controls the most advanced SAM AI, and has the most sophisticated interface to access and control the Remnant. Secure supremacy, check, will be home for dinner!
Also, if TIM pulled a "Weyland Yutani a'la Prometheus" on us and hitched a ride to Andromeda in a stasis pod under a false name, leaving a clone / android in the Milky Way with a copy of his brain scan, it wouldn't surprise me at all at this point. We may yet walk in on him enjoying a cigar, and then he and Cora could have that awkward family reunion thing (whishful thinking there)!
If this turned out to be true, it wouldn't necessarily mean that we'd have to dismantle the organization all over again. If they funded the Initiative then launching the arks was the last half-decent thing they did before they fell under Reaper control and things went to hell in the MW; The remnants of Cerberus in the Initiative may be forced to abandon their uptight attitude towards aliens in order to secure the survival of the entire organization against forces we've yet to encounter, and there are a few potential candidates. Jardaan, the enemies of the Jardaan who unleashed the scourge, the rest of the Kett Empire, Mordra (if she does go on a power trip), a resurgent Roekaar faction, Kadara can still fall apart regardless of who's in control, things can still go sour with the Angara in general, we still don't know what's going on with the Quarian ark, and who knows what other space Cthulhu could be lurking out there the writers didn't tell us about! XD
Also, strictly in-universe, anyone hearing the intercepted distress calls from the Reaper War would leave them dead-convinced: The Initiative is all that's left of the Milky Way cultures. IF Cerb is in Andromeda with the Initiative, regardless of what they've been doing up to this point, keeping this "last candle" of Milky Way civilization alive in a hostile galaxy can be a powerful motivator for cooperation.
Phew... thoughts? Ideas? Is it BS? Would it interest you?