No one is demanding FR change its government type. Khari asked to be added to the Elder council like the theocratic rulers. As FR has adamantly stated every time the Church has tried to get them to do something (very reasonable things like don't let heathen priests preach in your realm, don't harbor enemies of the faith) that they're not a theocracy. The whole argument presented to the Elder council on the side of FR and not excommunicating Khari for allowing Allison was that they aren't a theocracy. FR made a HUGE deal when they were formed about being a republic.
FR made its bed. They now have to lie in it. Theocracy or Republic, you can't be both. If FR wants to be a theocracy they will need to rebel. Plenty of reasons for a hardline conservative religous movement to overthrow Khari.
