and the real situation such as the USA has, where it has "loaned money to itself".
You're wrong. Those "IOUs" in the Social Security trust fund are not lent to the Social Security trust fund. From the pov of the trust fund, they are investments. And they're the safest imaginable investments that exist on the face of the Earth.
You're just wrong when you claim that the SS trust fund has been merged with the general treasury. That has not happened.
And if you're concerned about the fiscal health of the federal treasury, do you suppose it would help the U.S. to have those same instruments held by China or France as opposed to held by the SS trust fund?
Again, those instruments are debt to the general treasury but represent surpluses in the money-in vs. money-out for Social Security. So if you're worried about the general debt problem of the U.S., that is in fact a separate issue from the solvency of Social Security. You cannot possibly claim that those investments represent a shortfall in Social Security as in your Mrs. Jones' clothing budget faulty analogy.
To try to repair your messed up analogy in such a way that encompasses the entire federal government debt (which is not the subject of this thread by the way--since Perry didn't claim the entire U.S. government is a Ponzi Scheme):
Let's say for 80 years Mrs. Jones brought in more to the household most years than she required for expenditures. The rest of the household have become freeloaders (especially in times of war!). In fact, some members of the household (like Military Jones) always spends lots of money while contributing virtually none to the family revenues.
The surplus money Mrs. Jones has been making was borrowed by the household at large--especially by Military Jones--who promised to repay that money with a very modest interest. (And here the analogy breaks down, because while it wouldn't be prudent to loan money to family members, in the real world U.S. instruments are the safest and surest investments in the world and the "family" would have been borrowing that money from someone else if Mrs. Jones hadn't lent it to them anyway.)
Suddenly, Mrs. Jones finds her personal expenses have increased, and she needs to begin cashing in some of those loans. If she changes nothing else, she will still continue to increase her net worth even as she cashes in those loans for another 10 years. At that point, she'll begin decreasing her net worth for another ~12 years until she reaches the point where she won't be able to meet her personal expenses. Luckily, she has several options involving limiting the future increase of her expenses and increasing her personal revenues (independent of her investment income), and she can do this in plenty of time to avoid decreasing her net worth.
No the household's debt problem--which would exist with or without Mrs. Jones' participation--is another matter. It's plain that the household debt problem cannot be blamed on Mrs. Jones. She's more than paid her way for 80 years now, and with relative ease she can fix things so that she will continue to pay her way and remain solvent in the long-term.