Have you given up on teaching? You need to be honest with yourself and potential employers. When January rolls around, what are you going to do if you don't love your new job, are you going back to school? It's not fair to the employer to use them as an experiment. You need to commit to something if you expect them to commit to you.
If you make misleading changes to your resume to get the interview and this comes up in discussion, that is just as likely to keep you from getting a job. Trust is important, can they trust what you are telling them? Can they trust that you are serious about making this job work?
Sometimes it is amazing how small the work world is. You could very easily run into any of these contacts again in the future. You don't want to damage your reputation while trying to sort out what you really want to work on. Be up front with the information and believe that in the long run things will work out.