I hate to say it, but I had such a terrible experience trying to register my Cobra in CT that I'll never forget it.
Many Cobras are successfully registered there, so it can't be that bad for everyone. I suggest that you get help from someone who has been through it and knows the process and the people...maybe ERA? You will need to BE PREPARED.
My Cobra had been previously titled in FL and was several years old. It was a Superformance. I was required to go through the same rigorous inspection as a newly-built kit car. They demanded receipts for all the parts used and did not seem to understand the concept of a factory-built replica. They failed the car for such things as a minor
oil leak from the transmission linkage. Throughout the process, the officials were uncommunicative, rude, and unreasonable. After several attempts, I gave up and just drove local streets during the two years I lived there.
That experience was about 17 years ago. For your sake, I hope things have changed.