You need state teaching certification to teach in a public high school in CT. Private schools, however, do not require teacher certification; many hire teachers with only a bachelors degree. The pay scale at private schools is significantly lower, however, than at public schools. There is something called the ARC (Alternative Route to Certification) program that is a fast-track for becoming state certified. I can provide you a link to the info if you are interested.
From what I've seen, most of the state and private universities here do prefer that faculty have a PhD.
At the community college level, I think you might have a chance of finding something. I did a quick search and found the following job posting at Middlesex Community College in Middletown:
Middlesex Community College
Good luck!