Yes, if there is a warrant for your arrest, otherwise not. The warrant would need to be known to local police, CBP or TSA for that to be likely. More likely is that you would get arrested some time later when someone in IL found out your were in FL, rather than upon your arrival. Your wife's moving a child out of state without court permission relates to your right of visitation and is a separate issue from child support
So far, this is free to you. Until you pay a fee, I am not your lawyer and you are not my client, so you take any free advice at your sole risk. I am licensed in IL, MO, TX and am a Reg. Pat. Atty. so advice in any other jurisdiction is general advice and should be confirmed with an attorney licensed in that jurisdiction.