FLORIDA
Florida's constitution DOES ALLOW FOR the proposal of constitutional amendment by petition! See a constitutional lawyer about the specifics of executing such a petition. It is advisable to organize around such a petition, to better ensure the acquisition of signatures from all of Florida, and coordinate submission of the amendment.
Neither the legislature nor the governor are empowered to overrule an amendment so proposed. There is nothing any politician can do to stop it going to ballot, and once it is approved by the people of Florida, there is nothing any politician can do to stop it going into effect.
It is also plausible to gadfly legislators, run for a seat yourself, encourage another to do so, and/or organize a political party to coordinate voting efforts; however, in light of the above, all of this should be unnecessary and it is preferable to focus your efforts on that petition!
Once the amendment gets on the ballot, it is still imperative that you vote. Amendments require a 60% supermajority of voters to approve it in an election. Do not forget this step.
Again, the needed elements are:
FIRST: A selected legislative branch:
Necessitating selection by lot and electoral confirmation of senate and representatives - This is the important element. If nothing else is done, this must be.
Necessitating three persons jointly and in unison control one seat
Necessitating removal for misconduct be appropriately punished, and that officers are not permitted to step down
SECOND: A selected executive branch:
Necessitating selection by lot and electoral confirmation of governor, lieutenant-governor, et al.
Necessitating three persons jointly and in unison discharge all administrative duties
Necessitating removal for misconduct be appropriately punished, and that officers are not permitted to step down
THIRD: A selected judicial branch:
Necessitating selection by lot and electoral confirmation of judges
Necessitating removal for misconduct be appropriately punished, and that judges are not permitted to step down
The astute will note I have highlighted one item. This is because, all else failing, a legislature so composed will reasonably be expected to institute the rest of this form of government, both at the state level and at all levels controlled by state law. If the rest of this cannot be pushed through, that item alone will salvage Florida from depredation, and if that item is not present, the rest of this is rather pointless. This is especially relevant to Florida, as the constitution prohibits amendments embracing more than one subject; a hostile actor in Florida's government may attempt to interpret a complete implementation of demarchy as "embracing more than one subject". The services of a constitutional lawyer will be invaluable.
Important highlights of the Florida constitution are thus:
Article III empowers the legislative branch.
Section 1 handles the composition and appointment of the legislature.
Section 4 handles expulsion.
Section 17 empowers the legislature to impeachment.
Article IV empowers the executive branch.
Section 5 handles the appointment of the governor, lieutenant-governor, and cabinet.
Section 7 handles the suspension and removal of executive officials.
Article V empowers the judicial branch.
Sections 10 and 11 handle the appointment of various types of judge.
Section 12 handles discipline and removal of judges.
These highlights aren't necessarily complete, and the services of a constitutional lawyer will serve you well.
On the county and city levels, similar changes will need to be made. These matters are handled by law or other parts of the constitution. I have faith that a citizen legislature in Florida will attend to this problem with due urgency and care.