Oh dear. Yes, there is a fashion to turn classes into encounter groups. I walked out of two such classes, not because I was reluctant to share, but because in my case there was no professional purpose to the approach. And they were doctoral classes.

I think tinyrabbit has the best solution: distance yourself completely by treating it as a fiction class. Grit your teeth and churn out a story. Get your grade and be done with it. Consider it a performance. You are wise to not confide in this teacher because of his professional connections. There's always an underlying competitiveness in performance schools that makes such touchy-feely approaches in classes disingenuous and problematic. I'm sorry you have to deal with this, but you can get through it by minimizing it.