Hello. Thank you for using our service. All I ask is that before you sign off, you rate me positively. If you are inclined to use the "poor service" or "bad service" options, please ask follow-up questions first and give me a chance. Sometimes the law doesn't have a good solution, but I will try hard to find it if it is available.
If you owe child support, you could have your U.S. Passport revoked. Take a look at this link:
If you don't mind risking it, you would probably not have a problem leaving and using your U.S. Passport to enter other countries. The problem will be coming back to the U.S. When you come back, they will let you in, but they may confiscate and revoke your passport at that time and you will have to clear up the debt before you would obtain another one.
Another not so pretty option is if in the future you want to travel and you have citizenship from another country, you use that passport to leave the U.S. and enter other countries, and then come back using your birth certificate if you were born in the U.S. or your U.S. Citizenship Certificate if you naturalized or received automatic U.S. Citizenship. They will eventually let you back in, but they will detain you for awhile, scold you, etc. It won't be pretty, but at least you will get back in.
Please let me know if you have additional questions and please do not forget to rate my service to you (not the state of the law) as that is the only way that I can get credit for my assistance. Even after you rate the service, I can still answer additional questions for you without additional charge. If you do rate me positively, a bonus is always appreciated. If you would like to request me in the future, just go to http://www.justanswer.com/law/expert-guillermosenmartin/. Thank you!