The politics of a Galaxy Far, Far Away…
The Star Wars Chief
19416

Not that it changes Palpatine’s grab for power, but the Jedi did attempt to violently remove him from power. As in putting the head of state under arrest https://www.youtube.com/watch?v=4ESOrF_u1hg . I’m not sure what the proper process for impeaching a Galactic Chancellor would be, but I doubt 4 skilled paramilitary warriors turning up with lightsabers would be it.