The FAA ATPL *is* an ICAO ATPL and so the exams to get there are too. If Jordan's Aviation Authority or a Jordanian airline chooses not to recognise the FAA exam then that's their choice for whatever reason they like.
Normally one needs to have the source of exams match the licence you wish to get eg do the JAR exams & flight tests to get a JAR licence (at whatever level) or do the Australian exams & flight tests to get an Australian licence etc. However, if Jordan is happy to accept different sources ie you have FAA licences but pass some other jurisdiction's ATPL exam(s) then that might be how to meet their requirements. If that's not acceptable to them then I suspect your only option will be to obtain a CPL + IR + ATPL theory exams from an Authority that is acceptable. I'd bet that any JAA country would be fine, as would Australia & New Zealand and probably Canada.