Sentencing Burnham to life imprisonment for this mutiny is complete bullshit, also. This is a Starfleet comprised of 'wide eyed explorers.' Considering she had a storied career and was connected to a powerful Vulcan, I can't see the Dark Tribunal sentencing her to anything more than 20 years and a dishonorable discharge. Maybe they couldn't read the verdict because of the bad lighting.
Well let's face it, this is series writing, not reality. If this happened in the real world, the Federation would be outraged at the sneak attack (Pearl Harbor, 9/11) and no U.S citizen would ever be rebuked in the passion of patriotism, never mind one who took out the enemy leader. Michael would have a statute erected for her.
But this is a TV show, occasionally the writers go bat crazy especially when the creative head is changed, so that is it. Accept this part as a suspension of reality and move on. That is the only way to keep one's head from exploding.