I wonder. According to
this, the US received about $2.5 trillion in taxes for 2007 and total debt is about $10 trillion. Roughly 4 times revenue. GDP is over $13 trillion. Debt service was about $400 billion.
Would a person be able to borrow 4 times his salary to buy a house, for example? I think so. But the government has advantages as a borrower over an individual. The government could raise taxes if needed in a pinch. An individual might not be able to get a raise, and also doesn't have job security like the government. And the government will never retire or die (we hope).
I'm not saying it wouldn't be painful, but I bet we could service the debt even under Carter era interest rates.

I looked that up, but couldn't find anything.