I'm sorry you're under the thumb of a tyrannical nut-job. This supervisor is a control freak who is especially into playing with people's heads. Who ever gave this person this level of behavior control? Where you work I presume is a business or agency that produces some good, or some service. Micro-managing how you interact socially seems to have nothing to do with whatever this place is in the business of doing. This supervisor gets some weird gratification out of treating you like a puppet and out of making you feel perpetually insecure and threatened.

In any workplace, we always have a duty to try and be pleasant to our co-workers. That doesn't mandate any special level of social bonding. No one is obligated to make any coworker their personal friend. What you are describing seems completely out of place. What should matter is how you are cooperating to "get the job done" whatever that job is.