I cannot speak to the schools in the UAE you are speaking about, but I can speak to the experience required. However, if its an Emirates course, I would bet its pretty good.
For the training, there is no regulatory requirement for you to have a background in Aviation. As for the course, you may want to call the school to find out if they have a school prereq. list. Of course, it will help if you have a basic understanding of the rules and regulations and a basic handle on meteorology, navigation, advanced aircraft sytems, communications, etc, however this would all be taught during the course anyways.
As for your current degrees and experience, you can pretty much throw that out the window (no offence) for the commonality it will give you in aviation. While it may allow you to better understand the technical aspects of, say ACARS or ADS-B or similar systems, that will not really help when you are trying to decide the routing of a flight based on stated coverage of those systems and apply that to meteorological information - sorry.
Last but not least, a little leg work on contacting your local government office will answer all your local questions, regarding transfer of documents. Just because they are contracting states of ICAO does not give you free entry everywhere - there are regional differences which you must understand, so they will make you write an exam, or something.
Good luck!