If you have an Irish Passport, then all you are is a guest in the UAE, actualy your father is. So you might as well forget about all those nice cadet programmes as they are meant for nationals.
You my friend will have to do it just like everyone else here, on your own dime. And I wouldn't be badmouthing EI or FR for that matter as once you spent all your money to get your licence, these will be the first venues that an Irishman like yourself will look to to get that all important first job.
Cheers and welcome to the real world.