Sure they do but not in a Federal court. This is a STATE court problem. Considering that it is a duly passed amendment to their constitution I don’t see these weasels having a case (no offense to any real weasels out there, I do respect your varmint hunting abilities)
Each STATE is a sovereign STATE. The STATES have the right to set up their own government provided that the state has a REPUBLICAN form of government (Article 4)
The United States shall guarantee to every State in this Union a Republican Form of Government, and shall protect each of them against Invasion; and on Application of the Legislature, or of the Executive (when the Legislature cannot be convened) against domestic Violence
Other than that the courts and the Federal Government need to stay out of it.
This means that they cannot spend money from anyone not represented. If you are not represented, you are not getting this "guaranteed" Republcan form of government. Those who are not yet born cannot possibly be represented so debt cannot be passed unto them. Spending their money before they can have a voice on representation denies them of this "guarantee".