Short answer: No. Why would we do that?
On a personal level, I see Facebook as a useful tool that makes my life appreciably better for many different unrelated reasons, but this question asks about the EA community, so I'll stick to that side of things.
As long as Facebook exists, there will be a lot of people who use it as a primary platform for making plans and hanging out with people, and those people will be less likely to stick with EA if the community mostly disappears from Facebook. (Also, if the "mainstream" groups went down, groups like Dank EA Memes might stay up; I don't have any beef with that group, but it's not the first thing I want a search for "effective altruism" to return on Facebook.)
I've seen squabbles break out on Facebook groups, but those were rarely any worse than the most awkward in-person interactions I've seen in the community; they're also public, and involve people using their real names, which helps to keep things somewhat civil. I'm more uncertain about the EV of small, private EA message groups within Facebook, but I haven't seen evidence that they are actively harmful.
I agree with Zvi that the newsfeed is poorly designed and that some of the company's business practices aren't especially ethical, but I haven't seen any evidence that using the platform has caused any kind of collective harm to the movement, or even to many individuals in the movement.
In my experience, almost all the value of Facebook (like >99%) flows from Facebook groups & Facebook messenger (edit: also Facebook event invites, occasionally). Blocking the newsfeed helps me focus on the parts of Facebook that actually add value.
(More conspiratorially, the newsfeed is where Facebook deploys a lot of its mind-hacking techniques, and I really don't like the notion of having my mind / attention hacked. This is basically an aesthetic preference.)
Also, Twitter does a much better job at the "newsfeed" thing, and Twitter's feed is much easier to curate & generally less mind-hacky.