Is it remotely plausible to believe a group of unarmed protestors were seriously attempting to gain control over the most powerful superpower the world has ever seen with their barehands? This narrative strains credulity, counselor.
It's plausible that it's what some people were personally thinking (or a better word might be "LARPing"). But for the reasons you point out, it's not realistic to suggest that the loftiness of the goal implies the danger was historically-serious, or requiring some kind of revolutionary increase of law enforcement (beyond handling protests at the capital more wisely next time).