Have you ap-plied for NOC in writing and did the society refuse to furnish NOC in writing?
First you apply for NOC in writing and wait for a stipulated time, say one week's time and then you may issue a legal notice to the society demanding the same or else you can mention that you will be approaching the registrar of cooperative society or consumer forum for relief and remedy.
The society cannot refuse to furnish NOC especially for the cited reasons.
They cannot created nuisance this way in the name of communal feelings.
If at all they have any evidence, let them provide that instead of indulging in such illegal activities.