Internet is already distributed. The attacks against Visa and MC are also distributed. But Visa and MC are not. They are single points of trust for our financial transactions.
A more distributed system, where a web of trust and transaction system exists, could be used. But such a thing hasn't been invented yet.
I thought about it some last year, but such a system is hard to design. I did design several prototypes, but they had lots of problems. It also involved changing the structures of presumed governmental financial structures ("central" bank for example, is also a single point of trust).
So I think, the rephrasing of the problem should be: We do need to think about how our financial systems can be reorganized to be 100% distributed systems to prevent future abuses by anyone, including governments.