I don't believe it is. What is a felony is tax fraud, where a deliberately false report of income and tax calculation is made.
Nevertheless, owing the Federal or (in this case) state money is problematic, depending on how determined they are to collect. For a couple of thousand, the state might just be content to keep adding on interest and sending a bill.
Ask yourself, how long has Al Sharpton stretched out his tax payments, where a larger amount is concerned? And, there's always the "some animals are more equal than others" issue to be considered.
According to Wikipedia: Actor Wesley Snipes went to prison in 2010 on a three-year prison sentence in McKean County, Pennsylvania for misdemeanor failure to file U.S. federal income tax returns. He was released from prison in 2013.