First, the situation is not that dire to start with, most people and businesses can meet their obligations. We don't have anything remotely close to a financial crisis. It makes no sense to effectively turn the entire economy into a command economy and effectively declare a default to save what appears to be a fairly small part of the economy that will have trouble. You can have targeted intervention and get most of the benefit without dragging the rest of the economy into this.
Second, you can't just remove credit from the system. Credit is fundamental to nearly all transactions at scale - transactions in the real world aren't atomic, which means businesses are always dealing with receivables and payables, not to mention lines of credit that are designed to help businesses manage them.
There are tons of offsetting contracts, whether in terms of derivatives or insurance, and no one is going to be able to figure out which side of each contract is covered and which isn't and how to price anything given the uncertainty. Do health insurance companies have to pay hospitals? Do car insurance companies have to pay? These are all payments. Nothing happens in an economy without a payment. Do you have to pay insurance premiums? The effective result of this would be all financial markets not functioning and nearly all real markets too, since they are tied to the financial markets for pricing, settlement and credit.
It would be like the global financial crisis but a substantially worse version where every company becomes the Lehman Brothers. You'd have to basically nationalize everything across the entire world and run a command economy because the markets simply won't function at all even on a purely basic level.