Somehow I didn't think this game would appeal to many that were born before 1987 or so. I see I was right.
I was born considerably before 1987 and still the quote escapes me. Perhaps you logic is flawed in assuming only Trekkies recalling one specific quote were born before 1987. I will have to laugh at the irony if somebody younger than 22 answers your question correctly.
I spent some time on google trying various searches as well as skimmed some of the quote sites to no avail. The obscurity of this quote seems to indicate it was limited to a single moment in a non trek show. OP while it may have been humorous in context, there doesn't seem to be anybody out there that found it memorable enough to commit to any website, beyond you. What was the show? what was the context it was said in?