That site you linked to sure is wrong. It says the public debt is $8.3 trillion. It's actually $4.8 trillion. It says the National Debt has increased $1.95 billion a day since Sept 30, 2005, it's actually closer to $1 billion per day. I could probably find more errors, but you get the idea.
Justifying a huge debt on the basis of assets is ...
Nobody is justifying the debt, just mentioning that household net worth has increased much faster.
...well its like being overextended on your mortgage and getting a second mortage to make ends meet.
No, it's like saying my debt increased by $2,000 and my house, stocks, cash increased by $10,000.
The keeper of that site may have an agenda. Do you have references for your numbers?