The guru is correct - however I want to ad that It may be trickier - it could also be an admin title IV suspension if it was done post decree and the state's attorney was brought in for the prison portion. I'm leaning towards the former versus the latter, but only a case review will tell.
There is a way out aside from paying the full amount. But you'll need an attorney, and some patience. A 510 petition is a given, but what you're likely most concerned about is the prior amount in play. An attorney can handle that through an agreed order on arrears. This will get you out of the debt spiral and back on your feet.
Contact the Will County Bar Association, or look around AVVO for a family law attorney. Best of luck!