The TSA is not the problem, Border Patrol is. A year or two ago I was getting off the Amtrak at the Fort Lauderdale station and there were Border Patrol all over the platform conducting immigration inspections. It's not inconceivable that you could bump into them at the domestic airport. They have been known to do this at Buffalo, for example. The chances of this happening to you are extremely slim, but just be aware that the possibility does exist. I hope you are eventually able to straighten out your immigration status.