Adding brown sugar, or any fermentable for that matter, will not make it go any faster. Honey, because it has so few nutrients in it, will ferment slower than beer. You'd want to add yeast energizer and yeast nutrients to the must, but it won't make it go 'faster' per se, but it will keep the fermenting active.
The important part is the aging. Even when fermenting is done, it will taste really tart, hot and raw for a month until the flavors blend. Patience Grasshoppa.