Leaving the U.S. with outstanding warrants.

The following is strictly a hypothetical scenario/question and does not indicate any personal desire to break the law or an admission of previously doing so.

That being said, would someone with outstanding U.S. warrants run into trouble at European ports of entry specifically Holland or France.

The hypothetical warrants would include violation of felony probation and an unpaid reckless driving ticket, Both warrants in this scenario would be from the state of Tennessee and be over 1yr old.

My understanding is that acquisition of a passport and exiting the U.S. should pose no problem, however if this is wrong please correct me. My fear and concern regards entering the foreign country and clearing customs.

Help with this matter is greatly appreciated, thank you in advance.