I'm a JAA/EASA ATP holder
I'm not trying to sound demeaning or any such thing but, with those hours, you have a 'frozen' ATP which is quite unique to JAALand and something most Americans have never even heard of, let alone know how to interpret. An FAA ATP = 1500 hours, so it's probably worth establishing your qualifications a bit more accurately before setting off for the Wild West looking for a paid flying job (even if you do get the right to live and work in the US).