Often people downplay education as a only a requirement that we all need of the degree. BUT, if people list requirements in a job ad and you do not have them, you will not be considered. You can overcome one weakness but but many.
I do not think you can ignore experience. If you talk to colleague or read listservs, everyone talks about not getting a job due to lack of experience.
Networking and contacts only get your foot in the door for an interview. Education, experience, and your interview skills will land you the job.
Brian C. Gray
Head of Reference & Engineering Librarian
Kelvin Smith Library
Case Western Reserve University
http://blog.case.edu/bcg8bcg8@case.edu