If someone like Jones wants to be an idiot that pushes conspiracies about gay frogs, or Obama being an alien, they should be allowed to - if society deems Facebook something akin to a utility that everyone should have access to.
Alternatively, break Facebook up into pieces and end the monopoly.
Twitter is not so much an issue. They're a modest player when it comes to market share in social. Maybe 3% to 5% the size of Facebook in regards to true reach and influence (not just supposed daily or monthly actives).
If Twitter wants to be biased against conservatives, it's not nearly as big of a deal as people being banned for life from Facebook. Wikipedia recently stripped all Breitbart stories from their site (re sources/references), with a target of doing the same to Fox News next. Is that a big deal? Not so much, it's similar to Twitter's left bias when it comes to allowing hate speech and racism from the left, and banning or locking accounts on the right for trivial things. It's just not that important, Wikipedia is influential but has no monopoly on knowledge.
The solution to Twitter's bias, is the DOJ should sue them and make them enforce their terms of service for all parties equally (rather than allowing one side to freely issue death threats, racism, hate speech, etc. without having accounts get suspended or banned), which they're refusing to do right now. Levy increasing fines against them until they enforce their terms of service for all users equally. Problem solved.