^ It may seem "fascist" for Braxton et al. to be arrested for crimes he's going to commit, but it only seems that way. By the 29th century an entirely new way of looking at the law would have to arise, in a society where time travel is so commonplace.
The fact that they haven't committed a crime YET, doesn't change the fact that they WILL.
This is an excellent point that I think gets missed a lot in discussions about the future world of the Federation - history, technology and events will have moved forward to compel people of these time period to adjust laws and institutions to suit their needs that are inapplicable in the modern context.
Take the age old debate about "is Starfleet a military organization". There's actually a thread up about that. But that's a problematic, even irrelevant question from the perspective of this fictional universe. Within our own universe, what a "military" is has changed dramatically over just the past century, much less the the last 400 years. A "national military" for example, is a relatively recent creation, and to this day not universal (i.e. the Chinese People's Liberation Army is technically speaking, the armed wing of the Chinese Communist Party). The US Military of 1900 is fundamentally different from the one of 1918, of 1944, of 1968, and then of 2021. Starfleet is Starfleet. It's not a military, but it's not-not a military either. The best thing we can call it in the modern context is a uniformed civil service (which is a thing), that has components that can engage in military action when needed. Just as something like "Starfleet" would make no sense in the world of the 21st century, we can only apply modern institutions to the 24th century (or the 32nd century) very imprecisely.
In the case of law, there are procedures, standards and norms that didn't even exist 60 years ago or a 100 years ago, much less 400. And there is no reason to thing they'll persist, unchanged, indefinitely. Everyone in the US knows the Miranda Rights warning ("You have a right to remain silent...") as a result of pop-culture. But that didn't even exist before 1966 and has been altered a few times.
Or let's talk specific crimes. In 2021, cyber crimes can levy very serious penalties. Computer Data theft can land you 15 years in prison, per charge. That crime, as we think of it, did not exist 50 years ago. You could have probably prosecuted it under other laws back then, but as a distinct category of crime, it dates to a series of legal developments stretching from the 1980s to the 2000s.
So by the 29th century? Yeah who the heck knows how they even think of crime in a non-linear manner. But that's probably perfectly normal from their perspective, even if it isn't for us. It would be like trying to explain data theft to someone living in the 12th century. You could probably explain theft, and document theft, but the mechanisms of "computer data theft" would be as alien to them as time travel is to us.