I'd expect the same kind of influence to happen here. People don't relise at first but then they try to sell a car and suddenly relise there's a problem. Then a bank somewhere goes bust and someone they know looses money. Then they relise buying a car with cash makes some sense now... so all of a sudden you have law abiding citizens breaking the law just to survive.
Then, as in Argentina you find people moving onto black market and avoiding taxes.
It would play out differently but that's what we've seen before.
The Argentinians do not play around. Stayed at a hotel in La Rioja by the Chilean border. They asked for payment so I got out a credit card and they said they accept it but with a 40% surcharge. So I got out some Pesos!
I already see some merchants given 50% discounts if paid via BitCoins. This makes sense. For example, a US person in California would have 1-3% credit card transaction processing fee, 9% sales tax, 9% state income tax, 30% federal income tax and 15% self-employment tax. And those are only 4 specific taxes. Arbitrage opportunity.