Rice's job pre 9-11 had nothing to do with security inside the US ! That's never been the role of her position ! It's always been foreign affairs/security but I'm sure that's changed now?
OK, SO her past brief has been outside CONUS.
Howsomever . . . uhhhhh. . . . given her manner, cleverness and raw mental horsepower . . . it seems foolish to leave her off an important team unless higher priority demands require it.