I might be convinced that the Administration was concerned about people being forced to live under Islamic rule if it was as eager for war with Saudi Arabia as it is with Iran.
(I wouldn't support it any more in that case, but I would be more inclined to believe that its motivation might actually have anything to do with "Islamic rule".)
No. There are dozens of countries with despotic regimes, including Israel. And I also have no interest in zionist or any religious ideals exported either. If this were justification we would also be bombing Israel, which has committed far worse crimes than Iran.