1) and 3) (and, to an extent, 2) )are routinely done, to some degree, by your average security-conscious employer. Your employer knows who you are and probably put some thought on how to avoid your accounts getting hacked.

But what is reliability? Could be anything from "this dude has no outstanding warrants" to "this dude has been extensively investigated by a law enforcement agency with enough resources to dig into their life, finances, friends and family, habits, and so on".

I might be willing to go through these hoops for an actual, "real world" job, but submitting myself to months of investigation just to be able to commit into a Github repository seems excessive.

Also, people change, and you should be able to keep track of everyone all the time, in case someone gets blackmailed or otherwise persuaded to do bad things. And what happens if you find out someone is a double agent? Rolling back years of commits can be incredibly hard.