And for the point you are making, it would be sensible to pull out some spending as "other" (Social Security, maybe Medicare, some portion of defense spending).
From your link, states spend approximately $1860M per year. According to the revenue numbers I've found that means that half of all money spent by states must be supplied by the federal government or by debt. That is certainly sufficient to account for the perverse incentives I've noted, since states unlike USG cannot print money to cover debts.
There is a slight discrepancy since my revenue numbers are from last year, but generally, I would not agree that your source contradicts my claim.
If you go to https://www.census.gov/govs/local/ and click "2014 State and Local Summary Table by Level of Government and by State", "General revenue from own sources" is $2.16 trillion.
It also has a number for federal transfers, $600 billion.
The fact that you have chosen to quote the combined state and local taxes rather than the states themselves in a conversation where I have focused exclusively on state budgets makes me doubt your sincerity. And to the original point, high levels of deficit spending by states are by themselves an indicator of reliance on spending by the federal government, which is the guarantor of state debts. I'm not going to re-find the state tax receipt number; you can do that yourself, and you should have already considering the amount of numbers you've bothered to find.
Look at the first words of my first comment, I'm not being inconsistent, I'm arguing against where nearly all revenue in the United States is collected by the federal government. It's obviously not the case, state and local taxes account for a great deal of government revenue.
http://www.usgovernmentspending.com/
And for the point you are making, it would be sensible to pull out some spending as "other" (Social Security, maybe Medicare, some portion of defense spending).