It's stated right in the Blade Magic chapter of the Book of Nine Swords. Under the description of Strikes. Page 43, first paragraph (continued from page 42): "You do not multiply extra damage from a strike on a successful critical hit."
Now, Leading the Charge is a stance, not a strike, so its bonus damage would follow the normal rules for such. As a straight + to damage, rather than bonus dice, the extra damage from Leading the Charge would be multiplied on a critical hit.
But, for example, Assassin's Stance or Punishing Stance wouldn't be multiplied on a critical hit, because they add bonus damage dice, which are never multiplied on a crit (as described in the core rules). The bonus damage dice from a Burning Blade, Searing Blade, or Inferno Blade boost would not be multiplied, but the other damage bonus from them (the direct + based on initiator level) would get multiplied on a crit.