Yep, they could do that, or they could fold up the Federal Reserve altogether according to the legislation that drafted it, or they could shut it down for not being fully authorized to create money, or they could simply issue the money owed and pay off the debt, but they prefer to go on collecting income taxes as if that was ever the intent of the founding fathers.
Why does the government sponsor banking enterprises? Why doesn't HUD just fund home loans direct from the Treasury? Our government is drunken with corporate influence, it does nothing on its own, if there isn't a lobby pushing for a law, laws are not drafted. The founding fathers envisioned a government of leaders but it quickly dissipated into a government of bribe takers.
Anyway, there's no way to make a bigger mess than the one we have now. What we have now is a fiat paper currency in the advanced stages of meltdown. I love it when Paulson tells us that our banking is sound on account of the banks are well capitalized. Capitalized with what? With the dollar? The dollar is wilting. We have no real money in circulation, hence, the entire circulation is a seamless fragile entity that is collapsing. Nothing is safe. If the Treasury put real money into circulation, or at least an alternative currency, it could only help this huge mess. Notice how the market is cannibalizing; the Federal Reserve Note has no value to stabilize its position; the paper can not store value; hence there is nothing stopping this meltdown from rippling into all its base. It is a system of credit and debit of the momentary market; it is nothing more than accounting in practice; so as the trade turns over, the left and right side of the balance sheets dissolve each other and fold up the currency; the currency was only a momentary issue; it lasted as long as the debt, but now that the debt keeps turning over at the speed of light, the currency is dissolving as fast as it appears; the only thing that gave it longevity was the long term bonds ... as those fail, the speed of accounting dissipates the value of the currency. Hence, the credit "crunch" ... contracts are being torn up and with it the credit positions are lost. Since the currency was a momentary product of those contracts (loans) the currency itself is being crunched with the market turnover.
We don't have real money; we have fiat paper... as goes the market, so goes the paper. You are witnessing the meltdown of a paper driven market; trying to stabilize the banks with currency that is melting is futile. At least, in my opinion it would seem to be. But our Treasury Secretary says we are doing fine and dandy.... well, he also mentions that banks will continue to collapse as long as the foreclosure epidemic continues, I guess that's an asterisk in small print at the bottom of the speech.