Hi James and welcome to Permies.
I may be misconstruing your concern, but it seems like you're concerned that the yeast may continue to produce alcohol, which may harm other micros. If so, don't worry. The yeast needs sugar to make alcohol. What you'll get from the brewers is spent mash grain, which will have about 10-15% of the original sugars still left, as well as the yeast. The yeast won't be an issue in the compost and it will contribute to the compost. While it's been a long time since I biologized in school, I think that the microorganisms in the compost may be able to readily use the nutrients from the dead yeast. I wouldn't hesitate to add it to the pile.
One caveat from a homebrewer is that spent grains smell worse than just about anything else I've experienced, including a sewage treatment plant, so you'll want to make sure it's well covered and aerated. Spent grains will bring flies like nobody's business, but you
should be fine if covered
enough. The pile may stink when turned, though.
Good luck.
edit: FYI, brewers yeast is used in many animal feeds for the B complex vitamins, so it's a
staple in today's agricultural feed.