No they shouldn't because "death to" is simply a mistranslation. "Death to" is an idiom in Persian that means approximately "down with"- and in fact the official translation by the Iranian government itself is "Down with the USA". But I'm curious what you thought it meant.
So rather than wanting to kill the USA, they merely want to bring it down? That sounds like a distinction without a difference if you're a military tasked with ensuring that your country continues to exist.