I feel like ActivityPub has won here. (Used by GNU Social, Mastodon, Plemora, PeerTube, etc.) I think even Diaspora plans to add support for it eventually.
Whatever one thinks of Facebook, the two interfaces aren't equivalent and just having one won't give you the other. Especially, "Micro-blogging" doesn't give structured, moderated discussion of any kind.
And well, I personally think in the social network world, a large portion of Twitter is a pox on humanity, not by its control by particular entities but by the interface effectively working to elicit and amplify shallow, reactive, emotional responses.
The Facebook interface has its problem too but it's structure is more ambiguous, you can get "deeper" discussion are restrict who's talking and moderate well. And you moderate feed as well as groups, on Facebook itself.
Personally again, what I'd like to see is Twitter dying and Facebook being cloned by a better peer-to-peer. But in any case, just cloning Twitter wouldn't give you a Facebook competitor.
Building distributed (p2p if you want) versions doesn't solve the real problems, and will never be successful because the "better" versions don't hit the same triggers.
I can and have created a Facebook group, choosen the members and moderated the discussion. The discussion winds up as civil as here (imo of course). I don't know of any way to do this on Twitter. Given this and similar other aspect of the interfaces, I don't think one can equate the two platforms (which isn't to claim Facebook doesn't have problems).