Employers are used to CSE grads, though. They know what CSE is. Many have never heard of CogSci. When I got to Broderbund, I told them that I knew the fundamentals of structured programming, but more importantly, that I was capable of learning anything they wanted me to. They believed me and I was right.
Nobody comes out of college with useful knowledge.
The only thing worth learning in college is how to learn. Very few actually succeed. This means that the world is ours for the taking. It is your responsibility to demonstrate, through a resume, cover letter, and an interview, that it also means that you are skilled at learning. So here's my advice.