Sounds like a better place where you are - US I assume.
Here in the UK most engineering companies won't even give you an interview unless you have extensive experience. There is fierce competition for jobs offered by large companies, who offer reasonable starting salaries, and they use work experience as a filter. The starting salaries in smaller companies are usually quite poor so people move away from engineering for employment.
As brewnog said engineering grads are, generally, more employable than other graduates in non-engineering roles.