No.
Bitcoin is global. Regional collapses in the colonies like USA wouldn't make much difference to bitcoin sentiment in Tibet, Argentina or South Africa.
If the Dollar collapses, you can bet on it that it will take alot of Fiat currency's down with it. Maybe some currency's will be seen as safe havens, which in turn forces that currency to print like mad aswell.
I think there's a real good chance of Bitcoin and Gold being banned in case of a currency collapse because it is not "fair" that you hold it, and the majority of the people dont. Socialists will be socialists.
... maybe in the socialist USA states ... frankly i could care less what they decide to do to their 'compliant' citizens, in fact many of them deserve what's coming. You will know which are the truly free states by how they treat bitcoin (and gold), it is the ultimate litmus test, economic freedom.