This is why we have a field called macroeconomics. Unfortunately, the hard-won insights of macroeconomics are being rejected right now in favor of visceral feelings. And we’ll all pay the price.
In any event, it's not really fair to claim all of macroeconomics is on your side here. Economists seem pretty divided on this one.
Now, "stuff" (advertising, equipment, factories, employees) is cheap.
Now, borrowing is cheap.
Now is the time for a business to spend.
The US government is more like a business than an individual. Both are interested in generating wealth rather than consuming it.
But in the case of "my friend"...if he were looking to borrow in order to generate wealth, say buy a house for rental income, I would completely support him.
If we went with your analogy, the best thing for everyone is for that company to fail and fail fast because it is a burden on the economy. I would assume neither you nor anyone in the world is willing to accept this scenario. Therefore, you have no choice but to try to save the company. The only question is how.
The fact is that due to the housing bubble $8 trillion is gone from the economy. You can either choose to tighten the belt, save money and wait for the Americans that still have jobs to re-earn the cash, or you could try to borrow in order to invest and grow your way out of this. The reason I favor the latter approach is that the human cost of not spending money is too high in my opinion.
Same analogy applies to individual people. Imagine a friend of yours who has a bunch of debt, is having trouble earning enough money, and just took on a bunch more debt for some new ventures which he hopes will pay it all back.
Most people would tell their friend the prudent thing to do is spend less money for a bit, pay down your debt until you get back on your feet. Not open up some new credit cards.
This is probably why people have trouble understanding the "go into more debt to get out of debt" approach.