Looking here in Europe, I can give you some examples of police strikes against their own layoffs, wage cuts etc. It will be the same as in any other civil war - paying money doesn't means that people will fight on your side!
That confirms my statement that police will fight for whoever pays their paycheck. It's just that in this example, their paycheck is being paid for by the tax paying rioters, who are pissed off at the broke, moneyless government.