You perhaps will be ok. Anyone entering the USA has to give certain information to the Airport they are travelling from which the US Border and Immigration have beforehand. Where they are going and staying in the USA, But take it from me, they have everything in front of them on thier computer when they are processing your passport and travel details at Immigration they will know about your caution, they did with me. They know all your past history.The UK authorities are obliged to give them your criminal details. After 9-11 espically.Your details are passed on usually without your knowledge.