OK, but there are plenty of shovel-ready projects, so that is not an argument against the stimulus in principle.
Even Obama admitted that wasn't true. Living the myth I see.
I did not quite get how can you replace money with money (where did the first money go?). But -- if I guessed right -- the stimulus on federal level was offset by the cuts at the state and local levels. That is true, so the net stimulus was much less that the official 700 millions number, much less a trillion, which the rights are complained about.
No the 700 Billion (not million), is a debt now thanks a lot (sarcasm).
And BTW, that makes the aid to the states a shovel-ready project -- it lets them hire back the teachers and fire fighters they had to lay off.
Allowing continuation of failed spending. 
(sarcasm)
And that is an obvious fallacy. The reason the economy went into recession is the drop in the private sector demand. Which means a lot of money in private sector are neither spent, nor invested -- rather they are sit as idle cash.
No, it was not demand, it was the job losses which was the result of wreckless government economic policy. The job losses meant people spent less.
Thus, borrowing those idle money by the government has zero effect on the economy. And when the government spends those borrowed money, it increases the aggregate demand.
Did the US borrow this "idle money" from US business as you propose? No, it was foreign money. Fail.
And the fact that there are huge sums of idle cash in the US economy is just that -- a fact, not a theory:
U.S. Companies Sitting On Cash Choose Stock Buybacks Over Jobs
Banks Are Swimming in Cash - Graphic - NYTimes.com
Businesses are rational players (Austrian economics). They reduced their obligations which was deemed safer than risking capital.
Also the owners of that idle cash are begging the government to borrow it because even 0.5% interest is better than 0. That is why the interest on the government debt is at record lows. This would be a perfect time to repair our highways, hire teachers, build a particle accelerator or more f-22s fighters that are "too expensive". If only the Republicans were not a mass of stupid morons.
Total disconnect with reality. :cuckoo
Oh, and Obama just cut funding to MSU's subatomic research building project.