So how exactly did these guys think they will "overthrow the government"? Lets say they actually kidnapped the governor. Now what? Did they believe the rest of the state government will allow them to be in charge?
You can petition the government for redress of grievances, that wasn't good enough for these guys. I wish they would have read their Magna Carta (everybody has a copy in their pocket right?) and seen that in this seminal ideological document, while capturing buildings and property are fair game, you can't touch the king and his wife and kids, they're off limits, and since it's 2020 and not 1215, the part of king here is being played by elected officials, because we're a republic now instead of a monarchy, but the grievance is of the same character, a perceived violation of the Constitution.
Then at least they wouldn't be so guilty of such a serious crime, but also maybe they'd've thought it through a little better.
An actual realistic organization who tried this would have to seize government property and hold it ransom until whatever Constitutional violations they're charging are abolished in a deal /contract. It wouldn't be an overthrow, just as Magna Carta's Clause 61 isn't a prescription for overthrow of the king, but the most serious way that the people could hold the government accountable to the Constitution.
If all other means are exhausted (petitioning first, for example), then this measure is less severe than rebellion, it's the most severe way to communicate "we're law abiding, we just want you also to be". It should be seen as the foundation of the rule of law, if the government doesn't obey its constitution, then there has to be a way to hold them accountable without rebellion, overthrow or civil war.