My goats eat both brush and hay. And garden scraps, weeds, etc. I don't bring the brush to my goats, tho. They hike up the hills and get it themselves. I go with them to keep them (and the world) safe, tho.
I agree with Nanno. Your goats are just spoiled. They have learned that being obnoxious jerks it profitable. If they learned, instead, that supper was up on the hill, and that yelling about all their problems invariably brought on the old garden hose treatment, they might change their ways.
If none of that works, tho, then maybe they could wind up in somebody's freezer.