It wasn't my case, but when I went to CD Juarez I met a guy that was followed and stopped by an immigration officer when he landed in El Paso, TX. He said he gave his appointment papers to the officer and the officer told him that if it wasn't because he was already leaving the country he would've arrested him on the spot. But he made it to his appointment and his visa was accepted. I'd say that it is very possible that you are stopped but if you have all your documents with you to show them on the spot and not on your checked baggage I think you may be okay.
laligaggin got a reaction from ADM in Chance of encountering ICE at Airport when traveling for interview