That doesn't sound like a very healthy outlook on life. Trading social belonging for productivity is a Faustian deal if I've ever seen one, and a deal likely to lead to burnout and depression.
If socializing leaves you ridden with guilt for lost productivity, I'd recommend a paradigm shift.
Not guilty for lost productivity, but for having to fake emotions, showing interest in conversations which I have no real interest and most of all feeling powerless to cure problems of people when they tell about it.
Food for thought. Have you tried interacting socially without faking your emotions, pretending to be interested in things you aren't, and not trying to cure other peoples' problems?
If socializing leaves you ridden with guilt for lost productivity, I'd recommend a paradigm shift.