I can offer an in-universe explanation/perspective:
Rasalhague has always had a strong, independently-minded, national identity, formed from refugees and immigrants from a Terra that failed them, and continued to exploit them afterward; they were vassalized by, allied to, and then united with, the Draconis Combine. Even the elites intermarried with, fought for, and eventually became the ruling Kuritan dynasty.
Over 700 years, as part of the Combine, they had good times and bad times, sometimes treated preferentially, sometimes treated unfairly, they were given cultural and political exceptions and concessions, but also given the spotlight for surveillance. Under the imperial aegis of the Combine, Rasalhague developed and expanded, culturally, economically, militarily, territorially. They were a powerful part of a powerful empire, and by and large, as in every empire, Rasalhagian people weren't ready to stick their necks out to rebel against that on a whim. Yet many were always deadset against the Combine, many were enthusiastic collaborators, but they retained that national identity throughout by fair means and foul, against attempts to suppress and subvert that identity in kind, by fair means and foul. Collaboration vs. Insurgency, the Velvet Glove vs. the Iron Fist.
Fast forward to the 4th Succession War and the rebel movements finally have their opportunity and take it, they take the majority of the former Rasalhague Military district from the Combine, and in a diplomatic coup, take the Rasalhagian portion of the Tamar Pact from the Lyrans as well, along with other systems that buy into this new, democratic, independent, civic-nationalist state. They've got their own state, their own rules and institutions, it's theirs, and no-one else is here to tell them what to do with it. They fiercely guard this state from 3034 through to the 3070's.
Fast forward again to the 3060's, and the Ghost Bear Dominion is declared by CGB, who have moved in to colonise their population and build an empire in the territories they've taken from Rasalhague since the invasion of 3050; they have plenty of ideas of what to do to refashion Rasalhague in the image of the clans, by fair means and foul. The people of the Free Rasalhague Republic who have resisted for so long, who even balked against perceived influence from secular Comstar allies, are forced into an impossible situation when they find their allies smashed by the FedCom civil war, and are invaded during an intervention against the Word of Blake during the Jihad. They are forced to agree to vassalisation, and eventual annexation, into the Dominion.
Just like with the Combine conquest, the cycle begins again, as a part of the Dominion, which has recently expanded rapidly as an empire to include non-Rasalhague territories, while Rasalhagian Core, and Rasalhagian-Lyran territories are left in the hands of clan allies, the Horses and the Wolves. Rasalhague is again split between empires, and finds itself as one region of another larger empire.
They have good times and bad times, etc. etc. again. Under the imperial aegis of the Dominion, Rasalhague develops and expands etc. etc. again, with access to Clantech. It's the Combine: This Time It's Bears. They are a powerful part of a powerful empire, and by and large, as in every empire, Rasalhagian people aren't ready to stick their necks out to rebel against that on a whim. Yet many are always deadset against the Bears, many are enthusiastic collaborators, etc. etc. Collaboration vs. Insurgency, the Velvet Glove vs. the Iron Fist.
It's the same cycle, and whilst you can't poll a population on whether or not they'd join a revolution tomorrow, or predict when a revolutionary moment of impetus may occur, political violence begets further political violence, which for now has been temporarily stifled in the Dominion by an aggressive war, and could take a different and more subversive turn if the war brings material and human costs which Rasalhagians aren't willing to bear on the Ghost Bear elites' behalf.
