Yes, it takes time. At the moment few airlines are recruiting so guess where most of the applications are turning up. Yep, you've got it on the EK website server. Don't be discouraged, EK will get to you when they have time. Please don't expect to jump the queue, EK had lots of qualified applicants that wanted to join before 9/11 and have had lots of qualified applicants since. When 'your' application is received, bells and whistles don't go off saying employ this guy!
Look around and look at the on-line application form, what makes your background and experience sooo unique that you expect to get ahead of everyone else? Oh and by the way when you do get an interview, don't buy the book, EK don't want to employ the man who wrote the book they want to employ you. Be yourself and you will be fine.