“Certain fallacy … or what's indicated by every "sign" in this puzzle's grid”

Supply for Hershey

State home to the only public diamond mine in the U.S.: Abbr.

Move awkwardly (up)

Sources of fur in some luxury clothing

"The Sopranos" airer

Carpool home from the bar, say

Piece of junk?

Eldest of a trio of musical brothers

Bush family member