I would rather expect them to continue the divide and rule tactics which has worked pretty well so far. You don't have to form any alliances if you control bot

I would rather expect them to continue the divide and rule tactics which has worked pretty well so far. You don't have to form any alliances if you control both sides and you have the media and the lumpenproletariat to your disposal. In the worst case scenario, the working class will engage in an ethnic guerrilla warfare (thus making the state even weaker and easier to corrupt) rather that a revolution against the elites.