Your welcome, I think your definitely on the right track & landing an entry-level job in security would be easier to obtain with a degree. We have a active thread going on - on this board right
here and I noticed some of the guys have suggested getting a degree to advance further into the field; picking up on some certifications while your at it makes your resume look good too!
I think it's a plus where your at having web programming experience, you may pick up on web application penetration testing more quickly than others since you've actually written code. I think since you have a good background with programming, it'll help out in areas like when your learning scripting techniques, exploitation, sql injection, etc. You having the programming degree could work as a plus trying to make a transition over into the field

don't count yourself out man.