Whew. That recipe probably would fall into the "pruno" (prison hooch) type of beverage, perhaps more useful for historical interest than for regular consumption. Certainly could be made using honey I guess, though it would certainly benefit from using different yeast. Bread yeast is used for bread because it produces a lot of CO2 quickly, not because it tastes like anything you'd want to drink in beverages. For a quick buzz, you might consider just using the sugar and save the honey for eating.
That recipe would be alcoholic however, unless you could continuously feed it oxygen somehow. I didn't see on that page a non-alcoholic claim.
Bees, brews and fun
in Lyons, CO