Just my two pence.
IF you want to get into an airline then it really depends on what these airlines are asking from their applicants. At the moment for example I know of one that requires a degree- Lufthansa Cityline, without it they won't even put you forward for selection. On the other hand, Air Berlin doesn't make that requirement.
If you seek employment with smaller companies then you may get in. It's who you know,where you are and how much you manage to pester people for a job.
Once you have your first job on a particalur aircraft it becomes less important to have degrees.
The degree is just there to give some the employer minor confidence in your abilities. After that it's what jobs have you done in the past and referrals that get you the next job.